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Popular >

simplify 4(78)^2

Solution

simplify

4 \cdot (7 \cdot 8)^{2}

Solution

12544

Solution steps

4 (7 \cdot 8)^{2}

Apply exponent rule:

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

(7 \cdot 8)^{2} = 7^{2} \cdot 8^{2}

= 4 \cdot 7^{2} \cdot 8^{2}

7^{2} = 49

= 4 \cdot 49 \cdot 8^{2}

8^{2} = 64

= 4 \cdot 49 \cdot 64

Multiply the numbers:

49 \cdot 64 = 3136

= 4 \cdot 3136

Multiply the numbers:

4 \cdot 3136 = 12544

= 12544

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Frequently Asked Questions (FAQ)

What is 4*(7*8)^2 ?
The solution to 4*(7*8)^2 is 12544