Which expression is equivalent to (11^(-26))/(11)? 11^(-25) (1)/(11^(-26)) 11^(27) (1)/(11^(27))

Understand the problem: Understand the problem. We need to find an expression equivalent to the given expression (11^(-26))/(11). This involves the laws of exponents.Apply quotient rule: Apply the quotient rule for exponents. The quotient rule states that when dividing like bases, you subtract the exponents. So, we have: (11^(-26))/(11) = 11^(-26 - 1)Perform subtraction of exponents: Perform the subtraction of exponents. Now we subtract the exponents: -26 - 1 = -27 So, (11^(-26))/(11) = 11^(-27)Check for errors: Check for any possible math errors. We applied the quotient rule correctly and subtracted the exponents correctly.

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Which expression is equivalent to
(11^(-26))/(11)?

11^(-25)

(1)/(11^(-26))

11^(27)

(1)/(11^(27))

Which expression is equivalent to $\frac{11^{-26}}{11} ?$ $\newline$ $11^{-25}$ $\newline$ $\frac{1}{11^{-26}}$ $\newline$ $11^{27}$ $\newline$ $\frac{1}{11^{27}}$

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Which expression is equivalent to

\frac{11^{-26}}{11} ?

\newline

11^{-25}

\newline

\frac{1}{11^{-26}}

\newline

11^{27}

\newline

\frac{1}{11^{27}}

Understand the problem: Understand the problem. $\newline$ We need to find an expression equivalent to the given expression $(11^{-26})/(11)$ . This involves the laws of exponents.
Apply quotient rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that when dividing like bases, you subtract the exponents. So, we have: $\newline$ $(11^{-26})/(11) = 11^{-26 - 1}$
Perform subtraction of exponents: Perform the subtraction of exponents. $\newline$ Now we subtract the exponents: $\newline$ $-26 - 1 = -27$ $\newline$ So, $(11^{-26})/(11) = 11^{-27}$
Check for errors: Check for any possible math errors. $\newline$ We applied the quotient rule correctly and subtracted the exponents correctly.