Exponents with Unlike Bases and Same Exponent

Q. Question 6

Like term as $4m^3{n}^2$ is
a) $4m^2{n}^2$
b) $-6m^3{n}^2$
c) $6p{m}^3{n}^2$
d) $4m^3{n}^2$

Q.

Question 2(v)
Express the following in exponential form:
(v) $2\times 2\times a\times a$

Q. Question 2(i)
Simplify and express each of the following in exponential form:
(i) $\frac{2^3\times 3^4\times 4}{3\times 32}$

Q.

Question 2(iv)
Express the following in exponential form:
(iv) $5\times 5\times 7\times 7\times 7$

Q.

Question 6(iii)
Simplify:
(iii) $2^3\times 5$

Q. Mutliply
$(20x^2+40x^2-50x)(50x^3+22x-40x^2)$

1. $3000x^5-4900x^4+3320x^3-1100x^2$
2. $3000x^5+4900x^4-3320x^3-1100x^2$
3. $3000x^5-900x^4+3320x^3-1100x^2$
4. None of these

Q. Find the product of the given expression by suitable rearrangement:
125 × 40 × 8 × 25

1. 1000000
2. 10000000
3. 100000
4. 10000

Q.

The value of $3^3\times 2^3$ is:

1. 216

2. 215

3. 201

4. 219

Q. Find the value of n such that $\frac{4^{n+1}{2}^n-8^n}{2^{2n}}=\frac{3}{8}?$

Q.

If $3^a$ = $b^2$, find the minimum value of a + b

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Q. $\frac{1}{5^7}\times \frac{1}{5^3}=?$

1. $5^{-4}$
2. $5^{-10}$
3. $\frac{1}{5^{-4}}$
4. $\frac{1}{5^{-10}}$

Q. Find the value of:
$4^4$

Q. Simplify: $2^4\times 3^2$

Q.

Simplify the following: $(49{)}^{\frac{1}{2}}$