Powers and Exponents

Q.

If $1125=3^x\times 5^y$ then find the value of $x+y$.

1. 5

2. 1

3. 3

4. 2

Q.

If $2^x=16,3^y=27$ then $x+y=1$

1. True

2. False

Q.

If $4^x$ = 64, then which of the following is/are true?

1. $2^x=8$

2. $3^x=27$

3. $x^3=9$

4. ${10}^x$=10000

Q.

Find the value of 'y' if $5^y=125$

1. 2

2. 4

3. 3

4. 5

Q.

The expression, ${(2^{-1}+3^{-1}+4^{-1})}^0$is equal to :

1. 1

2. 2

3. 3

4. 0

Q.

The value of $[2^3-3^2-1^3{]}^0$ is 0.

1. True

2. False

Q.

${\left(\frac{1}{5}\right)}^0$ is equal to

1. $\frac{1}{5}$

2. 0

3. 1

4. 5

Q.

Find the value of x if $2^x=32$.

1. 2

2. 4

3. 5

4. 6

Q. What is -9 raised to the power of 2?

1. -1331
2. 81
3. -729
4. 512

Q. ‘2’ multiplied ten times is expressed numerically as _____ .

1. $2\times 10$
2. $2\times 2\times 2\text{....10 times}$
3. $2^{10}$
4. $\frac{2}{10}$