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Popular >

simplify (3x^4)^5

Solution

simplify

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

Solution

243 x^{20}

Solution steps

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

Apply exponent rule:

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

(3 x^{4})^{5} = 3^{5} (x^{4})^{5}

= 3^{5} (x^{4})^{5}

3^{5} = 243

= 243 (x^{4})^{5}

Apply exponent rule:

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

assuming

a \geq 0

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

= 243 x^{4 \cdot 5}

Multiply the numbers:

4 \cdot 5 = 20

= 243 x^{20}

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Frequently Asked Questions (FAQ)

What is (3x^4)^5 ?
The solution to (3x^4)^5 is 243x^{20}