Answer:
-1/5 or -0.2
Step-by-step explanation:
Hope this helps you out
The number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ 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:
= (-5)⁵/(-5)⁻⁶
As we know from the property of the integer exponent:
[tex]\rm = \dfrac{y^a}{y^b} = y{a-b}[/tex]
y 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 -5
Exponent can be subtracted, after subtracting the powers:
= (-5)⁵⁻⁽⁻⁶⁾
= (-5)⁵⁺⁶
= -5¹¹
Thus, the number expression (-5)⁵/(-5)⁻⁶ can be written as -5¹¹ after using the property of the integer exponent.
Learn more about the integer exponent here:
brainly.com/question/4533599
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