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Popular >

simplify (16x^5)^{5/4}

Solution

simplify

(16 x^{5})^{\frac{5}{4}}

Solution

32 x^{\frac{25}{4}}

Solution steps

(16 x^{5})^{\frac{5}{4}}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(16 x^{5})^{\frac{5}{4}} = 1 6^{\frac{5}{4}} (x^{5})^{\frac{5}{4}}

= 1 6^{\frac{5}{4}} (x^{5})^{\frac{5}{4}}

1 6^{\frac{5}{4}} = 32

= 32 (x^{5})^{\frac{5}{4}}

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

(x^{5})^{\frac{5}{4}} = x^{5 \cdot \frac{5}{4}}

= 32 x^{5 \cdot \frac{5}{4}}

5 \cdot \frac{5}{4} = \frac{25}{4}

= 32 x^{\frac{25}{4}}

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Frequently Asked Questions (FAQ)

What is (16x^5)^{5/4} ?
The solution to (16x^5)^{5/4} is 32x^{25/4}