Question

Which expression is equivalent to(4x3y5)(3x5y)2?

Answer 1

ANSWER

$36{x}^{13} {y}^{7}$

EXPLANATION

The given expression is

$(4 {x}^{3} {y}^{5} )(3 {x}^{5} y)^{2}$

This is the same as:

$(4 {x}^{3} {y}^{5} )(3 {x}^{5} y)(3 {x}^{5} y)$

We multiply and also apply the law of exponents.

${a}^{m} \times {a}^{n} = {a}^{m + n}$

This will give us;

$4 \times 3 \times 3 \times {x}^{3 + 5 + 5} {y}^{5 + 1 + 1}$

This simplifies to:

$36{x}^{13} {y}^{7}$