Question

Write the base and exponent of the following- ${\left( { - 15} \right)^4}$

Answer 1

Hint: The base is the number which is being multiplied. The exponent is the number which tells the number of times the base is being multiplied.

Complete step-by-step answer:
We know that If a number ‘a’ is multiplied n times then it is written as ${a^n}$ . It is read as ‘a’ to the nth power. Exponent is written above and to the right of the base number.
Here the number being multiplied is known as base=a
And the number which tells how many times the base is being multiplied is known as exponent=n
Given number is ${\left( { - 15} \right)^4}$
Here, the number being multiplied is $ - 15$ .Hence, the base is$ - 15$.
And the base is multiplied $4$ times. Hence, the exponent is $4$.
Answer-Base=$ - 15$ and Exponent=$4$.

Note: 1.Multiplication shows repeated addition and powers are used to show repeated multiplication.
2.Exponent is also known as index or power.
3. When the index of base is a number greater than zero (even if it is a fraction) then it is said to be a positive index or power.