Bradley Turnbull
09/10/2023 · High School
(SECTION - D) 32. Simplify and express the following in exponential form: \( \frac{3 \times 7^{2} \times 11^{8}}{21 \times 11^{3}} \)
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Step-by-step Solution
Calculate or simplify the expression \( (3*7^2*11^8)/(21*11^3) \).
Calculate the value by following steps:
- step0: Calculate:
\(\frac{\left(3\times 7^{2}\times 11^{8}\right)}{\left(21\times 11^{3}\right)}\)
- step1: Remove the parentheses:
\(\frac{3\times 7^{2}\times 11^{8}}{21\times 11^{3}}\)
- step2: Multiply by \(a^{-n}:\)
\(\frac{3\times 7^{2}\times 11^{8}\times 11^{-3}}{21}\)
- step3: Multiply:
\(\frac{3\times 7^{2}\times 11^{5}}{21}\)
- step4: Reduce the fraction:
\(7\times 11^{5}\)
The simplified expression in exponential form is \(7 \times 11^{5}\) or \(1127357\).
Quick Answer
\(7 \times 11^{5}\)
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