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Simplify: \(\frac{3^4 \times 3^2}{3^3}\).
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Answer and explanation
Correct answer: 27
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\frac{3^4 \times 3^2}{3^3}=3^{4+2-3}=3^3=27\). Exam tip: apply the exponent laws before evaluating the final power.
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What is the correct answer to this question?
27
Why is this the correct answer?
For powers with the same base, exponents are added during multiplication and subtracted during division. Thus, \(\frac{3^4 \times 3^2}{3^3}=3^{4+2-3}=3^3=27\). Exam tip: apply the exponent laws before evaluating the final power.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Operations on real numbers and the laws of exponents.
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