For the base value of 4, if the exponent is 2; the value will be 16.
For the base value of 4, if the exponent is -2; then value will be 1/16.
Base and Exponent
A base number and an exponent are typically used to denote a power.
What is base value?
The total number of digits required to express numbers in a number system is known as the base in mathematics. What number is being multiplied is revealed by the base number.
What is exponent?
The exponent, a little number printed above and to the right of the base number, provides the multiplicative power of the base number.
Calculation for the exponent of 2:
The base number is given as 4.
The exponent is given as 2.
So, the number becomes,
=> [tex]4^{2} =4[/tex]×[tex]4[/tex]
= 16
Thus, the base 4 with exponent 2 becomes 16.
Calculation for the exponent of -2:
The base number is given as 4.
The exponent is given as -2.
So, the number becomes,
=> [tex]4^{-2} =\frac{1}{4^{2} }[/tex]
= [tex]\frac{1}{16}[/tex]
Thus, the base 4 with exponent -2 becomes 1/16.
To know more about product rule of exponent, here
https://brainly.com/question/847241
#SPJ2
