Answer:
[tex]10\sqrt{5}[/tex]
Step-by-step explanation:
In this problem, we are given expression in exponent form and we have to simplify the expression.
The expression is [tex][4(5^{3} )]^{\frac{1}{2} }[/tex]
Now, we know that [tex]5^{3} = 5 \times 5 \times 5 = 125[/tex]
So, [tex]4(5^{3} ) = 4 \times 125 = 500[/tex]
Now, 500 can be written as 100 × 5 = 10² × 5
Therefore, [tex][4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5} [/tex] {Since 500 = 100 × 5 = 10² × 5} (Answer)
