Question

Which expression is equivalent to (4(5^3)1/2?

Answer 1

Answer:

$10\sqrt{5}$

Step-by-step explanation:

In this problem, we are given expression in exponent form and we have to simplify the expression.

The expression is $[4(5^{3} )]^{\frac{1}{2} }$

Now, we know that $5^{3} = 5 \times 5 \times 5 = 125$

So, $4(5^{3} ) = 4 \times 125 = 500$

Now, 500 can be written as 100 × 5 = 10² × 5

Therefore, $[4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5}$ {Since 500 = 100 × 5 = 10² × 5} (Answer)