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Q.

The value of $125 − 1 3$ is ____.

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Detailed Solution

The value of

125 − 1 3

is

15

.
Given that

125 − 1 3

.
Let us begin by using law of exponent

a − p = 1 a p

for real numbers:

125 − 13

=

112513

When we Split 125 into a cube of 5, we get

112513

= 15313

By using law of exponents, we get

a p q = a p q

for real numbers, we get

15313 = 15

Hence, the value of the expression is

15

.

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The value of 125 −1 3 is ____.