**Find the missing exponent worksheet :**

Exponent means how many times its base is used as a factor.

**Problem 1 :**

Write the missing exponent

**Problem 2 :**

Write the missing exponent

**Problem 3 :**

Write the missing exponent

**Problem 4 :**

Write the missing exponent

**Problem 5 :**

Write the missing exponent

**Problem 6 :**

Write the missing exponent

**Problem 7 :**

Write the missing exponent

**Problem 8 :**

Write the missing exponent

**Problem 1 :**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent

**Step 1 :**

To find the value missing exponent, we have to split the number which is in the left side as the multiple of the base of the missing exponent.

That is,

Hence, the missing exponent is 2.

**Problem ****2 :**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we write 8 as the multiple of 2.

That is,

8 = 2 x 2 x 2 = 2³

2³ = 2^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 3.

**Problem 3**** :**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we write 100 as the multiple of 10.

That is,

100 = 10 x 10 = 10²

10² = 10^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 2.

**Problem 4**** :**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we write 27 as the multiple of 3.

That is,

27 = 3 x 3 x 3 = 3³

3³ = 3^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 3.

**Problem 5 ****:**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we have to write 1 and 169 as the multiple of 1 and 13 respectively.

1 = 1 x 1 = 1²

169 = 13 x 13 = 13²

(1/169) = (1²/13²) = (1/13)²

(1/13)² = (1/13) ^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 2.

**Problem 6 ****:**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

We can consider 14 as 14 raised to the power 1.

That is,

14¹ = 14^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 1.

**Problem 7 ****:**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we have to write 64 and 81 as the multiple of 8 and 9 respectively.

64 = 8 x 8 = 8²

81 = 9 x 9 = 9²

(64/81) = (8²/9²) = (8/9)²

(8/9)² = (8/9) ^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 2.

**Problem 8 ****:**

Write the missing exponent

**Solution :**

Let "x" be the missing exponent.

Now we write 32 as the multiple of 2.

That is,

32 = 2 x 2 x 2 x 2 x 2 = 2⁵

2⁵ = 2^x

Powers have the same base, so their exponents must be equal.

Hence, the missing exponent is 5.

- Exponents and powers
- Laws of exponents
- Order of operations
- Prime factorization method
- Simplifying radical expression
- Square root of the polynomial
- Trick to find the square root of a large number

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