WRITE THE FOLLOWING IN EXPONENTIAL FORM WORKSHEET

Write each number in exponent form :

(1)  2 × 2 × 3 × 3 × 3        Solution

(2)  2 × 5 × 5        Solution

(3)  2 × 3 × 3 × 3 × 5       Solution

(4)  5 × 5 × 7 × 7         Solution

(5)  2 × 2 × 5 × 5 × 5 × 7          Solution

(6)  3 × 3 × 7 × 7 × 11 × 11    Solution

(7)  56         Solution

(8)  24      Solution

(9)  108         Solution

(10)  80        Solution

(11)  

8³ x 8⁴ is equal to

a)  8¹²       b)  64⁷      c)  2²¹    d)  None of these

Solution

(12)  

Which of the following is equal to

3 x 3 x 3 x 3 x 3 x 3

a)  3⁶       b)  18      c)  9³    d)  729

Solution

(13)  

(4²)³

a)  4⁸       b)  4⁶      c)  4⁵    d)  4²³

Solution

(14) 

2.7 x 10^-3 is equal to

a)  0.000027       b)  0.00027      c)  0.0027    d)  2.007

Solution

(15)

(-1)¹⁰⁰¹ is equal to

a)  1      b)  -1      c)  1001    d)  0

Solution

(16)

The value of (-2)⁵ is equal to

a)  -32      b)  10      c)  1/32    d)  -1/32

Solution

(17)  Express

2 x 3 x 2 x 3 x 2 x 3 x 2 x 3

in exponential form.

Solution

(18)  Express 7⁹ in the product form.

Solution

(19)  Express (3/4)³ in the form of p/q

Solution

Problem 1 :

Which power of 9 is equal to 3⁸ ?

Solution

Problem 2 :

The value of (-2)⁵ is 

a) -32     b)  10    c) -1/32    d) 1/32

Solution

Problem 3 :

.Which of the following is not true?

a) 2⁴ = 4²     b) 2⁴ = 8    c) 2³ < 3²

Solution

Problem 4 :

Write the base and exponent of (-1/3)⁴

Solution

Problem 5 :

Write 7.2 x10³ in usual form.

Solution

Problem 6 :

Which power of 7 is 343?

Solution

Problem 7 :

Express (9^-4)³ as a single exponent of 3?

Solution

Problem 8 :

Express -8/125 as a power of rational number.

Solution

Problem 9 :

Express the following in the form of p/q.

(-3/7)³ ÷ (6/7)²

Solution

Problem 10 :

Write the reciprocal of (-6/7)⁵ ÷ 7⁰

Solution

Problem 11 :

Express (-11)² x (-7)² in single exponential form.

Solution

Problem 12 :

Find the value of x if (-3)^{x - 2} = -243

Solution

Problem 12 :

Which is greater 3¹² or 6⁶

Solution

Problem 13 :

Which power of 8 is equal to 2⁶

a) 3     b) 2    c)  1     d)  4

Solution

Problem 14 :

Which of the following is greater?

a)  4^-2     b)  4^-3    c) 3^-4    d) 3^-2

Solution

Problem 15 :

Which power of 9 is equal to 3⁸ ?

Solution

Problem 16 :

Write the exponential form for 9 x 9 x 9 taking base as 3

Solution

Problem 17 :

Compare 3.8 x 10²⁷ and 1.9 x 10²⁸

Solution

Problem 18 :

If

3³⁰⁰⁰ – 3²⁹⁹⁹- 3²⁹⁹⁸ + 3²⁹⁹⁷ = a.3²⁹⁹⁸

 then find the value of a.

Solution

Write the product as whole number.

(1)  2 × 3 × 5         Solution

(2)  2² × 5                Solution

(3)  2³ × 7             Solution

(4)  2 × 3³ × 5         Solution

(5)  2² × 3² × 11         Solution

(6)  2³ × 5² × 11²         Solution

Problems 1-5 : Solve for x.

Problem 1 :

3^x = 27

Solution

Problem 2 :

2^{x - 5} = ¹⁄₁₆

Solution

Problem 3 :

6 ⋅ 3^x = 54

Solution

Problem 4 :

9^x = 7(3^x) + 18

Solution

Problem 5 :

5^x = (√25)^-7 ⋅ (√5)^-5)

Solution

Problems 6-10 : Solve for x using logarithm.

Problem 6 :

10^x = 100

Solution

Problem 7 :

3^x = ¹⁄₂₇

Solution

Problem 8 :

5^{3x - 1} = ¹⁄₆₂₅

Solution

Problem 9 :

2^x - 1 = 5

Solution

Problem 10 :

5^{x - 1} - 2^x = 0

Solution

1)  x = 3

2)  x = 1

3)  x = 2

4) x = 2

5)  x = -19/2

6)  x = 2

7)  x = -3

8)  x = -1

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