The number expression 26 ⋅ 26⁸ can be written as 26⁹ after using the property of the integer exponent.
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have:
A number expression:
= 26x26⁸
As we know from the property of the integer exponent:
[tex]\rm (h)^a(h)^b = h^{a+b}[/tex]
h is the base and a, b are the exponent.
As the same base can be written as the sum of the power
In the given number expression there is the same base as 26
Exponent can be added, after adding the powers:
= 26¹⁺⁸
= 26⁹
Thus, the number expression 26 ⋅ 26⁸ can be written as 26⁹ after using the property of the integer exponent.
Learn more about the integer exponent here:
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