1 answer

How do you simplify #(2a b ) ^ { 3} b ^ { 4}#?

Question:

How do you simplify #(2a b ) ^ { 3} b ^ { 4}#?

Answers

#8a^3b^7#

Explanation:

#"using the "color(blue)" laws of exponents"#

#color(red)(bar(ul(|color(white)(2/2)color(black)((ab)^n=a^nb^n" and " a^mxxa^n=a^((m+n)))color(white)(2/2)|)))#

#rArr(2ab)^3b^4#

#=2^3xxa^3xxb^3xxb^4#

#=8xxa^3xxb^((3+4))#

#=8xxa^3xxb^7=8a^3b^7#

.

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