If $2^{n+1}-2^n=32$, then $n=$ .

Important Questions on Exponents

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

On simplifying ${\left(2^4\times 3^5\right)}^4$ we get the answer in the exponent form as $k^{16}\times 3^{20}$, then find the value of $k$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

Simplify and if the answer in the exponent form: ${\left(3^2\times 3^4\right)}^{-2}$ is $3^k$, find the value of $k$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

Simplify and if the answer in the exponent form: ${\left(2^9÷2^7\right)}^3$ is $2^k$, find the value of $k$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

Simplify and if the answer in the exponent form: ${\left(2^3\right)}^2\times 2^{-4}\times 2^0$ is $2^k$, find the value of $k$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

Simplify ${27}^{-2}$ and if the answer in the exponent form is $3^k$, then find the value of $k$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 1

Simplify and leave the answer in the exponent form: ${\left(\frac{3}{5}\right)}^{-2}$

HARD

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 2

Simplify: $\frac{24\times {\left(2\right)}^3\times 9^{-1}}{{\left(2\right)}^4{\left(3\right)}^{-3}}$

HARD

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 14 - Exponents>EXERCISE 14>Q 2

Simplify: $\frac{{\left(2\right)}^{-4}\times {\left(3^3\times 2^2\right)}^3\times {18}^{-1}}{{72}^{-1}\times {\left(-3\right)}^6\times 2^{-1}}$