Question

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answer 1

The most simplified expression for $(5y)^2(16y^4)^{\frac{1}{2}$ is $100y^4$

The given expression is:

$(5y)^2(16y^4)^{\frac{1}{2}$

Expand the expression using the laws of indices

$5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}$

$25y^2 \times 4y^2$

Multiply like terms

$(25 \times 4)y^{2+2}$

The resulting expression is:

$100y^4$

Therefore, the most simplified expression for $(5y)^2(16y^4)^{\frac{1}{2}$ is $100y^4$

Learn more on indices here: brainly.com/question/10339517