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Find (\frac{7^4\times7^{-2}}{7}).
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Answer and explanation
Correct answer: 7
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\frac{7^4\times7^{-2}}{7}=7^{4+(-2)-1}=7^1=7\). Therefore, option B is correct. Exam tip: write the denominator 7 as \(7^1\) before applying the laws of exponents.
Frequently asked questions
What is the correct answer to this question?
7
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\frac{7^4\times7^{-2}}{7}=7^{4+(-2)-1}=7^1=7\). Therefore, option B is correct. Exam tip: write the denominator 7 as \(7^1\) before applying the laws of exponents.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Exponents.
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