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Popular >

simplify (7y^6)^4

Solution

simplify

(7 y^{6})^{4}

Solution

2401 y^{24}

Solution steps

(7 y^{6})^{4}

Apply exponent rule:

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

(7 y^{6})^{4} = 7^{4} (y^{6})^{4}

= 7^{4} (y^{6})^{4}

7^{4} = 2401

= 2401 (y^{6})^{4}

Apply exponent rule:

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

assuming

a \geq 0

(y^{6})^{4} = y^{6 \cdot 4}

= 2401 y^{6 \cdot 4}

Multiply the numbers:

6 \cdot 4 = 24

= 2401 y^{24}

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Frequently Asked Questions (FAQ)

What is (7y^6)^4 ?
The solution to (7y^6)^4 is 2401y^{24}