Question

The value of 625^0.75 is? with steps please

Answer 1

Answer:

625^0.75 = 625^75/100 = 625^3/4

Step-by-step explanation:

${625}^{ \frac{3}{4} } \\ = ({25}^{2}) {}^{ \frac{3}{4} } \\ = ({5}^{4}) {}^{ \frac{3}{4} } \\ = {5}^{3} = 125$

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Answer 2

Given: Given expression is 625^0.75.

To find: We have to find the value of the expression.

Solution:

The expression is 625^0.75.

To get the value of 0.75 we have to divide 75 to 100.

So, the value is-

$\frac{75}{100} = \frac{3}{4}$

Now we have to find 3/4 power of 625. To find this we have to express 625 in terms of 5.

The value will be-

${625}^{ \frac{3}{4} } \\ = \sqrt[4]{625 \times 625 \times 625} \\ = \sqrt[4]{ {5}^{12} } \\ = {5}^{3} \\ = 125$

So, the value of the expression is 125.