write (5y)^3 without exponents.

Explanation:

Step1: Recall exponent definition

$(5y)^3=(5y)\times(5y)\times(5y)$

Step2: Expand the product

$(5y)\times(5y)\times(5y)=5\times y\times5\times y\times5\times y$

Step3: Rearrange factors

$5\times5\times5\times y\times y\times y$

Step4: Calculate number - part

$5\times5\times5 = 125$

Step5: Combine results

$125\times y\times y\times y$

Answer:

$125\cdot y\cdot y\cdot y$