write 25×25×25×25 in exponential form with base 5
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Answer:
Step-by-step explanation:
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Concept-
Expressions written in the form of exponents are said to be written in exponential form. The exponential form is the most easier way of writing the repeated multiplication involving base and exponents. In this form, the power represents the number of time we are multiplying the base by itself.
Given-
Given product as 25×25×25×25.
Find-
We need to express 25×25×25×25 into the exponential form with base as 5.
Solution-
25 × 25 × 25 × 25
5² × 5² × 5² × 5²
(5)²⁺²⁺²⁺²
5⁸
[ Using identity, aᵇ × aⁿ = aᵇ⁺ⁿ]
So, 25 × 25 × 25 × 25 can be written in the exponential form with base 5 as 5⁸.
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