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ira [324]
3 years ago
7

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

Mathematics
1 answer:
Feliz [49]3 years ago
6 0

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)

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