? 102/5 × 108/5 = 10n
? 102/5 + 8/5 = 10n
? 1010/5 = 10n ? 102 = 10n ? n = 2
Hence, the value of n is 2.
The value of | ( | - |
|
) | -(2/3) |
125 |
The expression |
|
is equivalent to : |
5- 1 + 3- 1 |
Given equation is,
( 6a-2bc-3/4ab-3c2 ) ÷ ( 5a-3 b2c-1/3ab-2c3 )
Apply the algebra law a ÷ b = a x 1/b
= ( 6a-2bc-3/4ab-3c2 ) x ( 3ab-2c3/5a-3 b2c-1 )
= ( 6a-2 bc-3 x 3ab-2c3) / ( 4ab-3c2 x 5a-3b2c-1 )
Apply the law of Fractional Exponents and Laws of Exponents
(am)(an) = am+n
am÷an=am-n
Or
am/an=am-n
= 18a-2 + 1 b1 - 2 c -3 + 3 / 20a1 - 3 b-3 + 2 c2 - 1
= 9a-1b-1c0/ 10a - 2 b-1c1
= ( 9/10 ) a-1 + 2b-1 + 1 c0 - 1
= ( 9/10 ) a1b0 c-1
= ( 9/10 ) ac-1 [? b0 = 1]
The positive exponential function of |
|
is : |
a-5 |
The value of | ( |
|
) | 2/3 | x | ( |
|
) | is : |
3 2 | 2 2 |
The value of |
|
÷ |
|
is : |
x-3 . y-1 | x-1 |
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