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Popular >

simplify (12^3*12)^{10}

Solution

simplify

(1 2^{3} \cdot 12)^{10}

Solution

1 2^{40}

+1

Solution steps

(1 2^{3} \cdot 12)^{10}

Apply exponent rule:

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

(1 2^{3} \cdot 12)^{10} = (1 2^{3})^{10} \cdot 1 2^{10}

= (1 2^{3})^{10} \cdot 1 2^{10}

(1 2^{3})^{10} = 1 2^{30}

= 1 2^{30} \cdot 1 2^{10}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 2^{30} \cdot 1 2^{10} = 1 2^{30 + 10}

= 1 2^{30 + 10}

Add the numbers:

30 + 10 = 40

= 1 2^{40}

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Frequently Asked Questions (FAQ)

What is (12^3*12)^{10} ?
The solution to (12^3*12)^{10} is 12^{40}