Simplify. Express your answer using positive exponents. 10t^6/(10t^9)(t) ______

Combine and simplify terms: Combine the terms in the denominator and simplify the expression. 10t^6 / (10t^9 * t) = 10t^6 / (10t^(9+1)) = 10t^6 / 10t^10Apply quotient rule for exponents: Simplify the fraction by canceling out common terms and applying the quotient rule for exponents. = (10/10) * (t^6 / t^10) = 1 * t^(6-10) = t^-4Convert negative exponent: Convert the negative exponent to a positive exponent by rewriting t^-4. = 1/t^4

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Simplify. Express your answer using positive exponents. $\newline$ $\frac{10t^6}{(10t^9)(t)}$

View step-by-step help

Home

Math Problems

Grade 8

Multiply and divide powers: variable bases

Full solution

Q. Simplify. Express your answer using positive exponents.

\newline

\frac{10t^6}{(10t^9)(t)}

Combine and simplify terms: Combine the terms in the denominator and simplify the expression. $\newline$ $\frac{10t^6}{10t^9 \cdot t}$ $\newline$ = $\frac{10t^6}{10t^{9+1}}$ $\newline$ = $\frac{10t^6}{10t^{10}}$
Apply quotient rule for exponents: Simplify the fraction by canceling out common terms and applying the quotient rule for exponents. $\newline$ $= \frac{10}{10} \times \frac{t^6}{t^{10}}$ $\newline$ $= 1 \times t^{6-10}$ $\newline$ $= t^{-4}$
Convert negative exponent: Convert the negative exponent to a positive exponent by rewriting $t^{-4}$ . $\newline$ = $\frac{1}{t^4}$