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Popular >

simplify [(3^2)^5]^3

Solution

simplify

[(3^{2})^{5}]^{3}

Solution

3^{30}

+1

Decimal Notation

2.05891 E 14

Solution steps

[(3^{2})^{5}]^{3}

(3^{2})^{5} : 3^{10}

= [3^{10}]^{3}

Apply exponent rule:

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

= 3^{10 \cdot 3}

Multiply the numbers:

10 \cdot 3 = 30

= 3^{30}

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Frequently Asked Questions (FAQ)

What is [(3^2)^5]^3 ?
The solution to [(3^2)^5]^3 is 3^{30}