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Popular >

simplify (2^3a^8)^2

Solution

simplify

(2^{3} a^{8})^{2}

Solution

64 a^{16}

Solution steps

(2^{3} a^{8})^{2}

Apply exponent rule:

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

(2^{3} a^{8})^{2} = (2^{3})^{2} (a^{8})^{2}

= (2^{3})^{2} (a^{8})^{2}

(2^{3})^{2} = 64

= 64 (a^{8})^{2}

Apply exponent rule:

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

assuming

a \geq 0

(a^{8})^{2} = a^{8 \cdot 2}

= 64 a^{8 \cdot 2}

Multiply the numbers:

8 \cdot 2 = 16

= 64 a^{16}

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Frequently Asked Questions (FAQ)

What is (2^3a^8)^2 ?
The solution to (2^3a^8)^2 is 64a^{16}