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Popular >

simplify [(5^3)^4]^2

Solution

simplify

[(5^{3})^{4}]^{2}

Solution

5^{24}

+1

Decimal Notation

5.96046 E 16

Solution steps

((5^{3})^{4})^{2}

(5^{3})^{4} = 5^{12}

= (5^{12})^{2}

Apply exponent rule:

(a^{b})^{c} = a^{b c}, a \geq 0

= 5^{12 \cdot 2}

Multiply the numbers:

12 \cdot 2 = 24

= 5^{24}

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Frequently Asked Questions (FAQ)

What is [(5^3)^4]^2 ?
The solution to [(5^3)^4]^2 is 5^{24}