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Popular >

simplify (x^0y^2)^3

Solution

simplify

(x^{0} y^{2})^{3}

Solution

y^{6}

Solution steps

(x^{0} y^{2})^{3}

Apply exponent rule:

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

(x^{0} y^{2})^{3} = (x^{0})^{3} (y^{2})^{3}

= (x^{0})^{3} (y^{2})^{3}

Simplify

(x^{0})^{3} : 1

= 1 \cdot (y^{2})^{3}

Apply exponent rule:

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

assuming

a \geq 0

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

= 1 \cdot y^{2 \cdot 3}

Multiply the numbers:

2 \cdot 3 = 6

= 1 \cdot y^{6}

Multiply:

1 \cdot y^{6} = y^{6}

= y^{6}

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Frequently Asked Questions (FAQ)

What is (x^0y^2)^3 ?
The solution to (x^0y^2)^3 is y^6