**Question 1. **
Fill in the blanks:-

i. Any non-zero number with exponent zero is equal to _____________

ii. $2^x = 16$, then x is _______

iii. Writing repeated multiplication of numbers in a short form is called ___________________

iv. a raised to the power 2 is called a _______________ and a raised to the power 3 is called a ___________

v. if base is negative and exponent is odd, the expression has ______________ value.

**Question 2. **
State true or false:-

i. $(a \div a) \times a = a$; for every non-zero rational number

ii. $a^5 \times b^5 = ab^5$

iii. $b^{12} \times (-b)^6 = b^{18}$

iv. 2 is the base of exponential expression $(-2)^{10}$ .

v. $2^4 \times 2^3 = 6^7$

vi . $1^0 \times 0^1 = 1$

vii. $3^4 > 4^3$

viii. $4^0 + 5^0 + 6^0 = (4 + 5 + 6)^0$

**Question 3**
if $4^x = 64$, then find the value of $12^{2x-6}$

**Question 4. **
Find x if

i. $11^6 \div 11^{4-x} = 11^8$

ii. $(-3)^{x-2} = -243$

**Question 5. **
Simplify and express as a power of a rational number.

i. $(\frac {4}{3})^2 \times (\frac {2}{3})^3 \times \frac {1}{4}$

ii. $\left [ \left ( \frac{-3}{5} \right )^2 \times \left ( \frac{-3}{5} \right )^4 \right ]^3$

iii. $ \frac {3^5 \times 10^5 \times 25}{5^7 \times 6^5}$

iv. $\frac {3^8 \times a^6}{9^3 \times a^3}$

**Question 6. **
Evaluate:-

i. $(9^0 \times 7^0) \times (9 +7)$

ii. $ \frac {(-8)^0 - 11^0}{ (\frac {-2}{3})^0}$

iii.$(-1)^{10} \times (-1)^5 \times (-1)^4$

iv. $(-1)^{12} - (-1)^7$

**Question 7. **
Write in standard form;

i) 7489.3 ii) 6,780,000

iii) 8,04,000 iv) 78,950

**Question 8**
a is a non-zero rational number. Product of the square of a with the cube of a is equal to the

(a) second power of a

(b) third power of a

(c) fifth power of a

(d) sixth power of a

**Question 9**
Which of the follwing is equal to 1?

(a) $2^0 + 3^0 + 4^0$

(b) $2^0 \times 3^0 \times 4^0$

(c) $(3^0 – 2^0) \times 4^0$

(d) $(3^0 – 2^0) \times (3^0 +2^0)$

**Question 10**
Which of the two is larger : $3^{12}$ or $6^6$ ?

Answer

1.

a. 1

b. 4

c. power notation

d. square,cube

e. negative

2.

i.True

ii. False

iii. True

iv. False

v. False

vi. False

vii. True

viii. false

3. 1

4.

i. x=6

ii. x=7

5.

i. $(\frac {2}{3})^5$

ii. $(\frac {3}{5})^{18}$

iii. 1

iv. $ \frac {a^3}{3}$

6.

i. 16

ii. 0

iii. -1

iv. 2

8. c

9. b

10. $3^{12}$

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