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Popular >

simplify (2^2y^3)^5

Solution

simplify

(2^{2} y^{3})^{5}

Solution

1024 y^{15}

Solution steps

(2^{2} y^{3})^{5}

Apply exponent rule:

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

(2^{2} y^{3})^{5} = (2^{2})^{5} (y^{3})^{5}

= (2^{2})^{5} (y^{3})^{5}

(2^{2})^{5} = 1024

= 1024 (y^{3})^{5}

Apply exponent rule:

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

assuming

a \geq 0

(y^{3})^{5} = y^{3 \cdot 5}

= 1024 y^{3 \cdot 5}

Multiply the numbers:

3 \cdot 5 = 15

= 1024 y^{15}

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Frequently Asked Questions (FAQ)

What is (2^2y^3)^5 ?
The solution to (2^2y^3)^5 is 1024y^{15}