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Popular >

simplify (5^3*5^2)^4

Solution

simplify

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

Solution

9.53674 E 13

Solution steps

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

Apply exponent rule:

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

(5^{3} \cdot 5^{2})^{4} = (5^{3})^{4} (5^{2})^{4}

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

(5^{3})^{4} = 244140625

= 244140625 (5^{2})^{4}

Apply exponent rule:

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

(5^{2})^{4} = 5^{2 \cdot 4}

= 244140625 \cdot 5^{2 \cdot 4}

Multiply the numbers:

2 \cdot 4 = 8

= 244140625 \cdot 5^{8}

5^{8} = 390625

= 244140625 \cdot 390625

Multiply the numbers:

244140625 \cdot 390625 = 9.53674 E 13

= 9.53674 E 13

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Frequently Asked Questions (FAQ)

What is (5^3*5^2)^4 ?
The solution to (5^3*5^2)^4 is 9.53674E13