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Popular >

Simplify (2x^4)^5

Solution

simplify

(2 x^{4})^{5}

Solution

32 x^{20}

Solution steps

(2 x^{4})^{5}

Apply exponent rule:

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

(2 x^{4})^{5} = 2^{5} (x^{4})^{5}

= 2^{5} (x^{4})^{5}

2^{5} = 32

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

Apply exponent rule:

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

assuming

a \geq 0

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

= 32 x^{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= 32 x^{20}

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Frequently Asked Questions (FAQ)

What is simplify (2x^4)^5 ?
The solution to simplify (2x^4)^5 is 32x^{20}