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QUESTION: 1

(132)^{7} × (132)^{?} = (132)^{11.5}.

Solution:

QUESTION: 2

Solution:

QUESTION: 3

If 7^{(x - y)} = 343 and 7^{(x + y)} = 16807, what is the value of x?

Solution:

QUESTION: 4

(0.04)^{-2.5} = ?

Solution:

QUESTION: 5

(6)^{6.5} × (36)^{4.5} ÷ (216)^{4.5} = (6)^{?}

Solution:

(6)^{6.5} × (36)^{4.5} ÷ (216)^{4.5}

= (6)^{6.5} × [(6)^{2}]^{4.5} ÷ [(6)^{3}]^{4.5}

= (6)^{6.5} × (6)^{9} ÷ (6)^{13.5}

= (6)^{(6.5 + 9 - 13.5)}

= (6)^{2}

QUESTION: 6

Solution:

QUESTION: 7

Solution:

QUESTION: 8

if 6^{m} = 46656, What is the value of 6^{m-2}

Solution:

**Solution 1**

**Solution 2**

QUESTION: 9

10^{222} ÷ 10^{220} = ?

Solution:

QUESTION: 10

If m and n are whole numbers and m^{n} = 196, what is the value of (m - 3)^{(n+1)} ?

Solution:

m^{n} = 196

We know that 14^{2} = 196

Hence we can take m = 14 and n = 2

(m - 3)^{(n+1)} = (14 - 3)^{(2+1)} = 11^{3} = 1331

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