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Popular >

simplify (2^3*5^6)^4

Solution

simplify

(2^{3} \cdot 5^{6})^{4}

Solution

4096 \cdot 5^{24}

+1

Decimal Notation

2.44141 E 20

Solution steps

(2^{3} \cdot 5^{6})^{4}

Apply exponent rule:

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

(2^{3} \cdot 5^{6})^{4} = (2^{3})^{4} (5^{6})^{4}

= (2^{3})^{4} (5^{6})^{4}

(2^{3})^{4} = 4096

= 4096 (5^{6})^{4}

Apply exponent rule:

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

(5^{6})^{4} = 5^{6 \cdot 4}

= 4096 \cdot 5^{6 \cdot 4}

Multiply the numbers:

6 \cdot 4 = 24

= 4096 \cdot 5^{24}

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Frequently Asked Questions (FAQ)

What is (2^3*5^6)^4 ?
The solution to (2^3*5^6)^4 is 4096*5^{24}