1920

You visited us 1920 times! Enjoying our articles? Unlock Full Access!

Power of a Power

Question 30In...

Question

Question 30

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $p^{13} \div p^{8}$ is equal to :

(a) $p^{5}$

(b) $p^{21}$

(c) $p^{- 5}$

(d) $p^{- 19}$

Open in App

Solution

Using law of exponents , $a^{m} \div a^{n} = (a)^{m - n}$
Similarly $p^{13} \div p^{8} = (p)^{13 - 8} = (p)^{5}$

Suggest Corrections

Similar questions

Question 21

In the following question, out of the four options, only one is correct. Write the correct answer:

For a non-zero integer $x, x^{7} \div x^{12}$ is equal to:
(a) $x^{5}$
(b) $x^{19}$
(c) $x^{- 5}$
(d) $x^{- 19}$

Question 31

In the following question, out of the four options, only one is correct. Write the correct answer.

For a non-zero rational number $z, (z^{- 2})^{3}$ is equal to:

(a) $z^{6}$

(b) $z^{- 6}$

(d) $z^{4}$

Question 29

In the following question, out of the four options, only one is correct. Write the correct answer.

For any two non-zero rational numbers x and $y, x^{4} \div y^{4}$ is equal to:

(a) $(x \div y)^{0}$

(b) $(x \div y)^{1}$

(d) $(x \div y)^{8}$

Question 19

In the following question, out of the four options, only one is correct. Write the correct answer:

${(\frac{- 7}{5})}^{- 1}$ is equal to:
(a) $\frac{5}{7}$
(b) - $\frac{5}{7}$
(c) $\frac{7}{5}$
(d) $\frac{- 7}{5}$

Question 27

In the following question, out of the four options, only one is correct. Write the correct answer.

${(\frac{1}{10})}^{0}$ is equal to

(a) 0

(b) $\frac{1}{10}$

(d)10

Join BYJU'S Learning Program

Explore more

Join BYJU'S Learning Program