Maths-
General
Easy
Question
Express as a power with base 3.
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: 3 to the power of negative 5 end exponent
Step-by-step solution:-
3-2 × 27 × 9-3
= 3-2 × 33 × (32)-3
= 3-2 × 33 × 3-6 …................................................................. [(bn)m = bn⋅m]
= 3(-2)+3+(-6) …....................................................................... (an × am = an+m)
= 3-5
Final Answer:-
∴ The given expression as a power with base 3 can be written as 3-5.
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