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Which expression is equivalent to 6^-3?

Sagot :

Varshamittal029idn

1/216 is the equivalent expression for the given exponent [tex]6^{-3}[/tex].

An algebraic expression is a mathematical expression involving mathematical operations, variables, numbers, and mathematical quantities and combinations of them.

A negative exponent is the reciprocal of the same exponent with a positive value.

The reciprocal of any number is given by the fraction with the number as denominator and 1 as the numerator.

Here the given negative exponent is given by,

[tex]6^{-3}[/tex]

The exponent with positive value of the given negative exponent is given by [tex]6^3[/tex]

Reciprocal of the above exponent with positive value is given by,

[tex]\frac{1}{6^3}[/tex]

So now Calculating the negative exponent we have,

[tex]6^{-3} = \frac{1}{ {6}^{3} } = \frac{1}{216} [/tex]

Hence the equivalent expression for the given negative exponent is 1/216.

Learn more about Negative Exponent here -

https://brainly.com/question/1773695

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