GRE Sample Test 2 Quantitative Reasoning 1

The Quantities have numbers with great exponents and none of the exponent rules can be applied, so look for a way to factor. In Quantity A, factor 987 into its prime factors. The prime factors of 98 are 2 × 7 × 7, so ${98}^7$ can be rewritten as ${\left(2\times 7^2\right)}^7$. Use thePower-Multiply rule to combine the exponents and simplify to $2^7\times 7^{14}$. Quantity A can be rewritten as $\frac{2^7\times 7^{14}}{7^{63}}$. Use the Divide- Subtract rule to combine the exponents with base 7 to find that $\frac{2^7\times 7^{14}}{7^{63}}$. Therefore, the quantities are equal. The correct answer is (C).