angelboricua2006
contestada

Which is the value of this expression when m = 3 and n = negative 5?

(6 m Superscript negative 1 Baseline n Superscript 0 Baseline) Superscript negative 3
–8
Negative StartFraction 1 Over 8 EndFraction
one-eighth
8

Respuesta :

Hrishii

Answer:

StartFraction 1 Over 8 EndFraction

Step-by-step explanation:

[tex] \bigg( \huge{{6 {m}^{ - 1} {n}^{0} }} \bigg)^{ - 3} \\ \\ = \bigg( \huge{{6 {m}^{ - 1} \times 1 }} \bigg)^{ - 3} \\ \\ = \bigg( \huge{{ \frac{6}{m} }} \bigg)^{ - 3} \\ \\ = \bigg( \huge{{ \frac{m}{6} }} \bigg)^{3} \\ \\ = \bigg( \huge{{ \frac{3}{6} }} \bigg)^{3} \\ \\ = \bigg( \huge{{ \frac{1}{2} }} \bigg)^{3} \\ \\ = \huge{{ \frac{1}{8} }} \\ [/tex]

The value of the expression  [tex](6m^{-1} n^{0})^{-3}[/tex] is one - eighth.

What is power and exponent?

"Power is a number which expressed as a base number raised to the exponent."

According to the question,

m= 3 and n = -5

Expression = [tex]( 6m^{-1} n^{0} )[/tex]

Substitute the value of m and n in the expression

Value of the expression = [tex](6[/tex] × [tex]3^{-1}[/tex] × [tex](-5)^{0}[/tex] [tex])^{-3}[/tex]

                                         = [tex]\frac{1}{8}[/tex]

Hence the value of the expression  [tex](6m^{-1} n^{0})^{-3}[/tex] is one - eighth.

Learn more about power and exponent here

https://brainly.com/question/15722035

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