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
00:03 Power of a power, multiply the exponents
00:06 Make sure to multiply the exponents of both numerator and denominator
00:09 And this is the solution to the question

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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Related Subjects

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

Question Types

Powers of a Fraction: Using multiple rules Powers of a Fraction: Applying the formula Applying Combined Exponents Rules: Binomial Applying Combined Exponents Rules: Applying the formula Applying Combined Exponents Rules: Using multiple rules