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Popular >

simplify (2^2)^{(2^3)'}

Solution

simplify

(2^{2})^{(2^{3})^{'}}

Solution

4^{8'}

Solution steps

(2^{2})^{(2^{3})^{'}}

Apply exponent rule:

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

= 2^{2 (2^{3})^{^{'}}}

2^{3} = 8

= 2^{2 8^{^{'}}}

Apply exponent rule:

a^{b x} = (a^{b})^{x}

2^{2 8^{'}} = (2^{2})^{8^{'}}

= (2^{2})^{8^{^{'}}}

2^{2} = 4

= 4^{8^{^{'}}}

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Frequently Asked Questions (FAQ)

What is (2^2)^{(2^3)'} ?
The solution to (2^2)^{(2^3)'} is 4^{8'}