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Simplifying Exponential Expressions involving integer exponent

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

What is the result of $\frac{5y^7x^4}{9x^6y^{-3}}$ ?

$\frac{5y^5}{9x^{^2}}$

$\frac{5y^{10}}{9x^{10}}$

$\frac{5y^4}{9x^2}$

Simplify the expression $\frac{p^2r^{-7}}{p^5r^{-3}}$ .

$\frac{1}{p^3r^{-3}}$

$\frac{1}{p^7r^4}$

$\frac{1}{p^3r^4}$

What is the result of 16x²-19x²?

-3x²

3x²

-35x²

Simplify the expression 8x⁸-x⁰(x²)⁴.

7x⁸

7 -7

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

What is the result of $\frac{7y^4}{\left(2x^7\right)}$ - $\frac{9y^4}{\left(2x^7\right)}$ ?

- $\frac{y^4}{x^7}$

- $\frac{2y^4}{x^7}$

- $\frac{y^4}{2x^7}$

Complete:
The result of 7x⁷-15 $\frac{x^{-3}}{\left(x^{-10}\right)}$ is ______.

-8x⁷

8x⁷

22x⁷

What is the result of y⁵-7 $\frac{y^6}{y}$ ?

8y⁵

-6y⁵

6y⁵

Questions

Time

Score

Simplifying Exponential Expressions involving integer exponent

Simplify the expression ﻿2x−6y7z06x3y2z5\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}6x3y2z52x−6y7z0​﻿ .

﻿y53x9z5\frac{y^5}{3x^9z^5}3x9z5y5​﻿

﻿y53x3z5\frac{y^5}{3x^3z^5}3x3z5y5​﻿

﻿y93x9z5\frac{y^9}{3x^9z^5}3x9z5y9​﻿

What is the result of ﻿5y7x49x6y−3\frac{5y^7x^4}{9x^6y^{-3}}9x6y−35y7x4​﻿ ?

﻿5y59x2\frac{5y^5}{9x^{^2}}9x25y5​﻿

﻿5y109x10\frac{5y^{10}}{9x^{10}}9x105y10​﻿

﻿5y49x2\frac{5y^4}{9x^2}9x25y4​﻿

Simplify the expression ﻿p2r−7p5r−3\frac{p^2r^{-7}}{p^5r^{-3}}p5r−3p2r−7​﻿ .

﻿1p3r−3\frac{1}{p^3r^{-3}}p3r−31​﻿

﻿1p7r4\frac{1}{p^7r^4}p7r41​﻿

﻿1p3r4\frac{1}{p^3r^4}p3r41​﻿

What is the result of 16x2-19x2?

-3x2

3x2

-35x2

Simplify the expression 8x8-x0(x2)4.

7x8

7

-7

Simplify the expression ﻿2x−6y7z06x3y2z5\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}6x3y2z52x−6y7z0​﻿ .

﻿y53x9z5\frac{y^5}{3x^9z^5}3x9z5y5​﻿

﻿y53x3z5\frac{y^5}{3x^3z^5}3x3z5y5​﻿

﻿y93x9z5\frac{y^9}{3x^9z^5}3x9z5y9​﻿

Simplify the expression ﻿2x−6y7z06x3y2z5\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}6x3y2z52x−6y7z0​﻿ .

﻿y53x9z5\frac{y^5}{3x^9z^5}3x9z5y5​﻿

﻿y53x3z5\frac{y^5}{3x^3z^5}3x3z5y5​﻿

﻿y93x9z5\frac{y^9}{3x^9z^5}3x9z5y9​﻿

What is the result of ﻿7y4(2x7)\frac{7y^4}{\left(2x^7\right)}(2x7)7y4​﻿ -﻿9y4(2x7)\frac{9y^4}{\left(2x^7\right)}(2x7)9y4​﻿ ?

-﻿y4x7\frac{y^4}{x^7}x7y4​﻿

-﻿2y4x7\frac{2y^4}{x^7}x72y4​﻿

-﻿y42x7\frac{y^4}{2x^7}2x7y4​﻿

Complete:The result of 7x7-15﻿x−3(x−10)\frac{x^{-3}}{\left(x^{-10}\right)}(x−10)x−3​﻿ is ______.

-8x7

8x7

22x7

What is the result of y5-7﻿y6y\frac{y^6}{y}yy6​﻿ ?

8y5

-6y5

6y5

Incorrect

Great!

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

What is the result of $\frac{5y^7x^4}{9x^6y^{-3}}$ ?

$\frac{5y^5}{9x^{^2}}$

$\frac{5y^{10}}{9x^{10}}$

$\frac{5y^4}{9x^2}$

Simplify the expression $\frac{p^2r^{-7}}{p^5r^{-3}}$ .

$\frac{1}{p^3r^{-3}}$

$\frac{1}{p^7r^4}$

$\frac{1}{p^3r^4}$

What is the result of 16x²-19x²?

-3x²

3x²

-35x²

Simplify the expression 8x⁸-x⁰(x²)⁴.

7x⁸

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

Simplify the expression $\frac{2x^{-6}y^7z^0}{6x^3y^2z^5}$ .

$\frac{y^5}{3x^9z^5}$

$\frac{y^5}{3x^3z^5}$

$\frac{y^9}{3x^9z^5}$

What is the result of $\frac{7y^4}{\left(2x^7\right)}$ - $\frac{9y^4}{\left(2x^7\right)}$ ?

- $\frac{y^4}{x^7}$

- $\frac{2y^4}{x^7}$

- $\frac{y^4}{2x^7}$

Complete:
The result of 7x⁷-15 $\frac{x^{-3}}{\left(x^{-10}\right)}$ is ______.

-8x⁷

8x⁷

22x⁷

What is the result of y⁵-7 $\frac{y^6}{y}$ ?

8y⁵

-6y⁵

6y⁵