Which rules of exponents will be used to evaluate this expression? Check all that apply.
StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
product of powers
quotient of powers
power of a power
power of a product
negative exponent
zero exponent
So..what is it??
use ^ to indicate powers and try again so we can read it
if your familiar with connections, edgenuity we dont have a day for your answers its a timed quiz, 1 hour so i dont need your help on that anymore. but yea jus keep that in mind...
Which rules of exponents will be used to evaluate this expression? Select three options.
StartFraction left-brace (negative 8) Superscript 4 Baseline right-brace Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction
To evaluate the expression
StartFraction (negative 8) Superscript 4 Baseline Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline EndFraction,
we can see that the expression involves a combination of powers and negative exponents. Thus, the rules of exponents used to evaluate this expression would be:
1. Quotient of powers: This rule states that when dividing two numbers with the same base, you subtract the exponents. In this case, we have the expression (negative 8) Superscript 4 Baseline Superscript negative 5 Baseline Over (negative 8) Superscript 6 Baseline, where the base (-8) is the same. Therefore, we will subtract the exponents: 4 - (-5) = 4 + 5 = 9.
2. Negative exponent: This rule states that when a number with a negative exponent is moved to the denominator, the exponent becomes positive. In this case, we see that we have (-8) Superscript 4 Baseline in the numerator and (-8) Superscript 6 Baseline in the denominator. Since the numerator has a positive exponent, we don't need to apply the negative exponent rule to it. However, in the denominator, we have (-8) Superscript 6 Baseline. So, we can move it to the numerator and change the sign of the exponent: 9.
Therefore, the rules of exponents used to evaluate this expression would be quotient of powers and negative exponent.