Question

Choose the correct simplification of (7x^3y^3)^2
a. 14x^6y^6
b. 49x^5y^5
c. 49x^6y^6
d. 14x^5y^5

Answer 1

$\bf (7x^3y^3)^2\impliedby \textit{let's distribute the exponent first} \\\\\\ (7^2x^{3\cdot 2}y^{3\cdot 2})\implies 49x^6y^6$

Answer 2

The simplified form of expression $(7x^3y^3)^2$ is $\bold{49x^6y^6}$

The correct answer is an option (a)

What are exponents?

It refers to the number of times a number is multiplied by itself."

What is expression?

"It is  a mathematical statement which consists of numbers, variables and  mathematical operations"

For given question,

We have been given an expression $(7x^3y^3)^2$

We know, $(a^b)^m=a^{b\times m}$

$\Rightarrow (7x^3y^3)^2 \\\\= 7^2\times (x^3)^2\times (y^3)^2\\\\ =49\times x^{3\times 2}\times y^{3\times 2}\\\\=49x^6y^6$

Therefore, the simplified form of expression $(7x^3y^3)^2$ is $\bold{49x^6y^6}$

The correct answer is an option (a)

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