simplify (2^3y^2)^3 — step-by-step solution

Let's simplify:

{(2^{3} \cdot y^{2})}^{3}

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

2^{3}

2 \cdot 2 \cdot 2

8

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

ⓘ The power of a product is the product of the powers:

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

8^{3} \cdot {(y^{2})}^{3}

8^{3} \cdot {(y^{2})}^{3}

ⓘ Powers are computed before multiplications, additions and subtractions. An integer power is a repeated product:

8^{3}

8 \cdot 8 \cdot 8

512

■A power of a power multiplies the exponents, (a^n)^m = a^(n*m):

{(y^{2})}^{3}

y^{2 \cdot 3}

512 y^{2 \cdot 3}

ⅰ

2 \cdot 3

6

▶Simplified form:

512 y^{6}