Solve (4²/7⁴)²: Calculating Powers of Complex Fractions

Question

(4274)2= (\frac{4^2}{7^4})^2=

Video Solution

Solution Steps

00:00 Solve the following problem
00:03 The rule for raising a power to a power is to multiply the exponents
00:06 Make sure to multiply the exponents of both the numerator and denominator
00:09 This is the solution

Step-by-Step Solution

(4274)2=42×274×2=4478 (\frac{4^2}{7^4})^2=\frac{4^{2\times2}}{7^{4\times2}}=\frac{4^4}{7^8}

Answer

4478 \frac{4^4}{7^8}

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Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Power of a Quotient

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