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Popular >

simplify (2a^2y^0z)^4

Solution

simplify

(2 a^{2} y^{0} z)^{4}

Solution

16 a^{8} z^{4}

Solution steps

(2 a^{2} y^{0} z)^{4}

Apply exponent rule:

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

(2 a^{2} y^{0} z)^{4} = 2^{4} (a^{2})^{4} (y^{0})^{4} z^{4}

= 2^{4} (a^{2})^{4} (y^{0})^{4} z^{4}

2^{4} = 16

= 16 (a^{2})^{4} (y^{0})^{4} z^{4}

Simplify

(a^{2})^{4} : a^{8}

= 16 a^{8} (y^{0})^{4} z^{4}

Simplify

(y^{0})^{4} : 1

= 16 a^{8} \cdot 1 \cdot z^{4}

Multiply the numbers:

16 \cdot 1 = 16

= 16 a^{8} z^{4}

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Frequently Asked Questions (FAQ)

What is (2a^2y^0z)^4 ?
The solution to (2a^2y^0z)^4 is 16a^8z^4