which expression is equivalent to \\((7^5)^{-9}\\)? \\(\\frac{1}{7^{-45}}\\) \\(\\frac{1}{7^{-4}}\\)…
which expression is equivalent to \\((7^5)^{-9}\\)? \\(\\frac{1}{7^{-45}}\\) \\(\\frac{1}{7^{-4}}\\) \\(7^{-4}\\) \\(7^{-45}\\) submit
Answer
Explanation:
Step1: Recall exponent rule
For ((a^m)^n), the rule is (a^{m\times n}). Here (a = 7), (m = 5), (n=- 9).
Step2: Apply the rule
Calculate (5\times(-9)=-45). So ((7^{5})^{-9}=7^{-45}).
Answer:
(7^{-45}) (the fourth option: (7^{-45}))