If $3^{2-x}$ = 243, find the value of $x$.

Important Questions on Powers and Exponents

EASY

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>MENTAL MATHS>Q 7

Find the value of ${\left[{\left\{{\left(-\frac{1}{3}\right)}^3\right\}}^{\frac{-1}{3}}\right]}^1$.

MEDIUM

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>MENTAL MATHS>Q 8

If $3^{2x}\times 3^2=729$, find the value of $x$.

MEDIUM

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>MENTAL MATHS>Q 9

What is the value of ${\left\{{\left(5\right)}^{-2}\right\}}^{-2}$?

EASY

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>MENTAL MATHS>Q 10

$10,00,00,00,00,00,00,000$ in the scientific notation is $1\times {10}^k$, find the value of $2k+1$

MEDIUM

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>HOTS

While solving an exponent question, Rohit said that $\frac{3^5}{9^5}$ is same as $\frac{1}{3}$. What mistake did he make?

HARD

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>Real-life Applications>Q 1

In a school, on the first day 1 student was absent, on the second day 2 students were absent, on the third day 4 students were absent, on the fourth day 8 students were absent. If same pattern continued till 6^th day, how many students would be absent on the 6^th day?

MEDIUM

7th CBSE

IMPORTANT

Active Teach Maths Ace>Chapter 5 - Powers and Exponents>Real-life Applications>Q 2

The area of the Atlantic Ocean is $3.18\times {10}^7$ $\mathrm{sq}. \mathrm{Miles}$ and the area of the Pacific Ocean is $6.4\times {10}^7$$\mathrm{sq}. \mathrm{miles}$. Which ocean covers more area? Also, convert the area of these two oceans into the expanded form.