{"id":152,"date":"2022-04-13T10:10:34","date_gmt":"2022-04-13T10:10:34","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=152"},"modified":"2025-01-18T06:29:56","modified_gmt":"2025-01-18T06:29:56","slug":"h-6-multiply-and-divide-monomials","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/h-6-multiply-and-divide-monomials\/","title":{"rendered":"H.6 Multiply and divide monomials"},"content":{"rendered":"\n

Multiply and divide monomials<\/strong><\/h2>\n\n\n\n

key notes:<\/p>\n\n\n\n

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To multiply powers with the same base, add their exponents.
Any number to the zeroth power is equal to one.
Any number to the first power is equal to itself.<\/p>\n<\/div><\/div>\n\n\n\n

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To multiply powers with the same base, add their exponents.
To divide powers with the same base, subtract their exponents.
A negative exponent can be written as a positive exponent in the denominator.
Any number to the zeroth power is equal to one.<\/p>\n<\/div><\/div>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

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\u27a1\ufe0f Simplify.<\/p>\n\n\n\n

 Express your answer using positive exponents.<\/p>\n\n\n\n

9y0<\/sup> . 10y0<\/sup> . 2y<\/p>\n<\/div><\/div>\n\n\n\n

Simplify.<\/p>\n\n\n\n

9y0<\/sup> . 10y0<\/sup> . 2y<\/p>\n\n\n\n

2 . 9 . 10 (y0<\/sup>y0<\/sup>y) Group the coefficients and group the variables<\/p>\n\n\n\n

180<\/strong> (y0<\/sup>y0<\/sup>y) Multiply the coefficients<\/p>\n\n\n\n

180y0<\/strong>+0<\/strong>+1<\/strong><\/sup> Multiply, remembering to add the exponents<\/p>\n\n\n\n

180y1<\/sup><\/strong><\/p>\n\n\n\n

180y y1<\/sup>=y<\/p>\n<\/div><\/div>\n\n\n\n

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\u27a1\ufe0f Simplify. <\/p>\n\n\n\n

Express your answer using positive exponents.<\/p>\n\n\n\n

6h-4 <\/sup>\/ (6h\u20131<\/sup>)(h)<\/p>\n<\/div><\/div>\n\n\n\n

First, simplify the denominator.<\/p>\n\n\n\n

6h-4 <\/sup>\/ (6h\u20131<\/sup>)(h) Group the coefficients and group the variables<\/p>\n\n\n\n

6h\u20134<\/sup> \/ 6h\u20131<\/strong>+1<\/strong><\/sup> Multiply, remembering to add the exponents<\/p>\n\n\n\n

6h\u20134<\/sup> \/ 6h0<\/sup><\/strong><\/p>\n\n\n\n

6h\u20134 <\/sup>\/ 6 h0<\/sup> = 1<\/p>\n\n\n\n

The denominator is simplified. Now, divide the numerator by the denominator.<\/p>\n\n\n\n

h\u20134<\/sup> Divide the coefficients by their highest common factor, 6<\/p>\n\n\n\n

Finally, express your answer using positive exponents.<\/p>\n\n\n\n

h-4<\/sup><\/p>\n\n\n\n

1 \/ h4<\/sup><\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\u27a1\ufe0f Simplify. <\/p>\n\n\n\n

Express your answer using positive exponents.<\/p>\n\n\n\n

9r \/ (9r\u20134<\/sup>) (r0<\/sup>) (r6<\/sup>)<\/p>\n<\/div><\/div>\n\n\n\n

First, simplify the denominator.<\/p>\n\n\n\n

9r \/ (9r-4<\/sup>) (r0<\/sup>) (r6<\/sup>) <\/p>\n\n\n\n

9r \/ 9 (r-4<\/sup>r0<\/sup>r6<\/sup>) Group the coefficients and group the variables<\/p>\n\n\n\n

9r \/ 9r–4<\/strong>+0<\/strong>+6<\/strong><\/sup> Multiply, remembering to add the exponents<\/p>\n\n\n\n

9r \/ 9r2<\/sup><\/p>\n\n\n\n

The denominator is simplified. Now, divide the numerator by the denominator.<\/p>\n\n\n\n

r \/ r2<\/sup> Divide the coefficients by their highest common factor, 9<\/p>\n\n\n\n

r1-2<\/sup> Divide, remembering to subtract the exponents<\/p>\n\n\n\n

r-1<\/sup><\/p>\n\n\n\n

Finally, express your answer using positive exponents.<\/p>\n\n\n\n

r-1<\/sup><\/p>\n\n\n\n

1 \/ r1<\/sup><\/p>\n\n\n\n

1 \/ r r1<\/sup>=r <\/p>\n<\/div><\/div>\n\n\n\n

let’s practice!\ud83d\udd8a\ufe0f<\/p>\n\n\n\n

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\"\"<\/a><\/figure>\n<\/div>\n\n\n\n
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\"\"<\/a><\/figure>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

Multiply and divide monomials key notes: To multiply powers with the same base, add their exponents.Any number to the zeroth power is equal to one.Any number to the first power is equal to itself. To multiply powers with the same base, add their exponents.To divide powers with the same base, subtract their exponents.A negative exponentContinue reading “H.6 Multiply and divide monomials”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-152","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/152","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=152"}],"version-history":[{"count":11,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/152\/revisions"}],"predecessor-version":[{"id":17418,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/152\/revisions\/17418"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=152"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}