Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer as a single term using exponents. $\newline$ $\frac{767^6}{767^6}$

View step-by-step help

View step-by-step help

Evaluate expressions using properties of exponents

Full solution

Q. Simplify. Express your answer as a single term using exponents.

\newline

\frac{767^6}{767^6}

Identify base and exponents: Step $1$ : Identify the base and the exponents in the numerator and denominator. In $767^6/767^6$ , both the numerator and the denominator have the base $767$ raised to the exponent $6$ .
Apply quotient rule: Step $2$ : Apply the quotient rule for exponents, which states $a^m / a^n = a^{(m-n)}$ . Here, $m$ and $n$ are both $6$ . So, $767^6 / 767^6 = 767^{(6-6)} = 767^0$ .
Recall power of $0$ : Step $3$ : Recall that any non-zero number raised to the power of $0$ is $1$ . Therefore, $767^0 = 1$ .

More problems from Evaluate expressions using properties of exponents

Question

Write the expression using an exponent.

\newline

2 \times 2

\newline

Posted 8 months ago

Question

Evaluate the expression.

4 - 4^2

Posted 8 months ago

Question

x^2 = 4

Posted 7 months ago

Question

x^2 = 9

Posted 9 months ago

Question

\newline

x^2 = 0

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

Posted 9 months ago

Question

x

\newline

8 = 2^x

\newline

x =

Posted 9 months ago

Question

x

\newline

6 = 7^x

\newline

x =

Posted 9 months ago

Question

Select the equivalent expression.

\newline

((8^{-5})/(2^{-2}))^{-4}=?

\newline

1

\newline

\newline

(8^{20})/(2^{8})

\newline

\newline

(2^{6})/(8^{9})

\newline

\newline

(1)/(8\cdot 2^{2})

Posted 6 months ago

Question

Select the equivalent expression.

\newline

\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?

\newline

1

\newline

\frac{b^{21}}{4^{15}}

\newline

\frac{4^{15}}{b^{21}}

\newline

b^{-21}\cdot 4^{-15}

Posted 7 months ago

Question

Select the equivalent expression.

\newline

(3^{3}\cdot6^{6})^{-3}=

\newline

1

\newline

\frac{1}{3^{9}\cdot6^{18}}

\newline

\frac{6^{18}}{3^{9}}

\newline

\frac{3^{9}}{6^{18}}

Posted 8 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant