Multiplication of Powers with the Same Base

Q.

$25$ raised to the power $\frac{4}{5}$ raised to the power of $3$.

Q.

Simplify: $\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

Q.

6^12×35^28×15^16/14^12×21^11×5^28=?

Q.

When we multiply two exponents with the same base, then their powers are (added/multiplied). Tick the correct choice

1. added

2. multiplied

Q.

1. 3⁴ x 4²

2. 3¹² x 2⁴

3. 2³ x 3⁹

4. 3¹² x 2³

Q. Match these parts of laws of exponents with their equivalent counterparts.

1. $a^{m-n}$
2. $(ab{)}^m$
3. $(\frac{a}{b}{)}^m$
4. $a^{m+n}$

Q.

If $a$ is any non-zero integer and $m,n$ are two whole numbers, then $a^m\times a^n=\_\_\_\_\_\_.$

Q. Simplify , giving solution with positive index
$x^2{y}^3.6x^{5}y.9x^3{y}^4$

Q.

Solve: $28945\times 99-(-28945)$

Q. By what number should 2^3 be ​multiplied to get 2^5 ?​

1. 5
2. 2
3. 5^2
4. 2^2

Q. By what number should 2^3 be ​multiplied to get 2^5 ?​

1. 2
2. 2^2
3. 5
4. 5^2

Q. By what number should 2^3 be ​multiplied to get 2^5 ?​

1. 2
2. 5^2
3. 2^2
4. 5

Q. Peter has a rod such that 1/8 of it is yellow . 1/2 of the remaining is green and 7/2 of the remaining is white . The length of the rod is ---

Q.

2² ×5³+5³=?

Q.

Find the value of $3^3\times 3^2$.

1. $3^5$

2. 343

3. $3^1$

4. 243

Q. Using special methods find 385×111

1. 42735

2. 426785

3. 42875

4. 43875

Q.

Write the following in exponential form assuming denominators not equal to zero:

$\frac{4^6}{4^3}$

Q. By what number should 4^4 be divided with to get 4?​

1. 4
2. 4^2
3. 4^3
4. 4^4

Q.

$2^5=5^2$, state whether the expression is true or false?

1. True
2. False

Q. Using special methods find 5492×999999 = ___

Q.

Write the following in exponential form assuming denominators not equal to zero:

${\left(\frac{m}{n}\right)}^6÷{\left(\frac{m}{n}\right)}^4$

Q.

Write the following in exponential form assuming denominators not equal to zero:

$\frac{3^5}{3^2}$

Q. Find the value of $2^{10}$ × $3^{10}$.

1. $6^{10}$
2. $2^{20}$
3. $5^{10}$
4. $3^{20}$

Q. The multiplicative inverse of $2^2$ is

1. $\frac{1}{4}$
2. $\frac{2}{10}$
3. $\frac{1}{16}$
4. $\frac{1}{2}$

Q.

[(-4²)³÷(2²)⁴]×(3²)^-2

Q.

${\left(x\right)}^{\square }=1$

Q.

1. 536

2. 432

3. 256

4. 356

Q. What is the value of 3^6 x 3^4?​

1. 3^24
2. 3^10
3. 3^8
4. 3^2

Q. Solve for $x$ in the equation $(-5{)}^{x+1}\times (-5{)}^5=(-5{)}^7$.

1. 6
2. 7
3. 2
4. 1

Q.

Find the value of $(\frac{2}{3}{)}^5\times 3^6\times \frac{1}{8}\times \frac{1}{6}$.
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