Question 84 (f)

Simplify and express each of the following in exponential form.
$(5^{15} \div 5^{10}) \times 5^{5}$

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Solution

We have $(5^{15} + 5^{10}) \times 5^{5} = (\frac{5^{15}}{5^{10}}) \times 5^{5} = 5^{15 - 10} \times 5^{5} = 5^{5} \times 5^{5} = 5^{5 + 5} = 5^{10}$

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Q. Question 2(viii)
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Simplify and express each fo the following in exponential form.
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Exponents with Like Bases

Standard VII Mathematics

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Question 84 (f) Simplify and express each of the following in exponential form. (515÷510)×55

We have (515+510)×55=(515510)×55=515−10×55=55×55=55+5=510

Question 84 (f)

Simplify and express each of the following in exponential form.
$(5^{15} \div 5^{10}) \times 5^{5}$

We have $(5^{15} + 5^{10}) \times 5^{5} = (\frac{5^{15}}{5^{10}}) \times 5^{5} = 5^{15 - 10} \times 5^{5} = 5^{5} \times 5^{5} = 5^{5 + 5} = 5^{10}$