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8^(2)×7^(2):4^(2)

$8^{2} \times 7^{2}: 4^{2}$

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Evaluate integers raised to rational exponents

Full solution

Q.

8^{2} \times 7^{2}: 4^{2}

Evaluate Exponents: We need to simplify the expression $8^{2}\times7^{2}:4^{2}$ . Let's start by evaluating the exponents. $\newline$ $8^{2} = 8 \times 8 = 64$ $\newline$ $7^{2} = 7 \times 7 = 49$ $\newline$ $4^{2} = 4 \times 4 = 16$
Multiply Results: Now, let's multiply the results of the exponents for $8$ and $7$ . $\newline$ $64 \times 49 = 3136$
Divide Product: Next, we divide the product of $8^{2}$ and $7^{2}$ by $4^{2}$ . $\newline$ $3136 \div 16 = 196$
Final Result: The final simplified result of the expression is $196$ .

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