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Popular >

simplify 4(3a^4)^2

Solution

simplify

4 (3 a^{4})^{2}

Solution

36 a^{8}

Solution steps

4 (3 a^{4})^{2}

Apply exponent rule:

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

(3 a^{4})^{2} = 3^{2} (a^{4})^{2}

= 4 \cdot 3^{2} (a^{4})^{2}

3^{2} = 9

= 4 \cdot 9 (a^{4})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(a^{4})^{2} = a^{4 \cdot 2}

= 4 \cdot 9 a^{4 \cdot 2}

Multiply the numbers:

4 \cdot 2 = 8

= 4 \cdot 9 a^{8}

Multiply the numbers:

4 \cdot 9 = 36

= 36 a^{8}

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Frequently Asked Questions (FAQ)

What is 4(3a^4)^2 ?
The solution to 4(3a^4)^2 is 36a^8