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Popular >

simplify (8x^3)^2

Solution

simplify

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

Solution

64 x^{6}

Solution steps

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

Apply exponent rule:

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

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

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

8^{2} = 64

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

Apply exponent rule:

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

assuming

a \geq 0

(x^{3})^{2} = x^{3 \cdot 2}

= 64 x^{3 \cdot 2}

Multiply the numbers:

3 \cdot 2 = 6

= 64 x^{6}

Popular Examples

factor 6m^2-15m factor

6 m^{2} - 15 m

factor 5a^2-80 factor

5 a^{2} - 80

6q^2-6q=5q^2-8q+24

6 q^{2} - 6 q = 5 q^{2} - 8 q + 24

factor (x^2+9)^2-36x^2 factor

(x^{2} + 9)^{2} - 36 x^{2}

factor 2^{n+1}-2^n factor

2^{n + 1} - 2^{n}

Frequently Asked Questions (FAQ)

What is (8x^3)^2 ?
The solution to (8x^3)^2 is 64x^6