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Exponents with Like Bases

7/3 2× 7/3 5 ...

Question

Question 59
${(\frac{7}{3})}^{2} \times {(\frac{7}{3})}^{5} = {(\frac{7}{3})}^{10}$

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Solution

False
Here, ${(\frac{7}{3})}^{2} \times {(\frac{7}{3})}^{5} = {(\frac{7}{3})}^{2 + 5} = {(\frac{7}{3})}^{7}$
Hence, ${(\frac{7}{3})}^{2} \times {(\frac{7}{5})}^{5} \neq {(\frac{7}{3})}^{10}$

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Similar questions

Q. In the given question, select the related number from the given alternatives.

7

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32

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35

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Q. Find the square root of

(i)

\sqrt{\frac{2 + \sqrt{3}}{2}}

\sqrt{4 + \sqrt{7}}

\sqrt{7 + 3 \sqrt{5}}

Question 18

$- 35 \times 107$ is not same as

(a) $- 35 \times (100 + 7)$
(b) $(- 35) \times 7 + (- 35) \times 100$
(c) $- 35 \times 7 + 100$
(d) $(- 30 - 5) \times 107$

\frac{6}{15} \times \frac{20}{32} \div \frac{35}{8} \times \frac{7}{10} \div 9

Q. Simplify:

(i)

\frac{3 \sqrt{2} - 2 \sqrt{3}}{3 \sqrt{2} + 2 \sqrt{3}} + \frac{\sqrt{12}}{\sqrt{3} - \sqrt{2}}

\frac{5 + \sqrt{3}}{5 - \sqrt{3}} + \frac{5 - \sqrt{3}}{5 + \sqrt{3}}

\frac{7 + 3 \sqrt{5}}{3 + \sqrt{5}} + \frac{7 - 3 \sqrt{5}}{3 - \sqrt{5}}

\frac{1}{2 + \sqrt{3}} + \frac{2}{\sqrt{5} - \sqrt{3}} + \frac{1}{2 - \sqrt{5}}

\frac{2}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{2}} + \frac{3}{\sqrt{5} + \sqrt{2}}

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Exponents with Like Bases

Standard VII Mathematics

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