Elevate Your Exponents and Radicals Skills Today

High School
Algebra
Algebra I
Exponents and radicals

Recent questions in Exponents and radicals

Zoe Oneal 2021-10-20

You are only allowed to use integer exponents.
$12 \log (x) - 7 \log (y) - 9 \log (z)$

York 2021-10-19

Use the properties of exponents to simplify. Your answer should contain only positive exponents. Show all steps.
${(\frac{- 2 x^{- 3} y}{3 x^{5} y^{0}})}^{5}$

nicekikah 2021-10-18

Use the laws of exponents to simplify the expressions
${(64^{\frac{1}{12}})}^{2}$

ossidianaZ 2021-10-18

Rewrite with rational exponents:
$\sqrt[4]{5 x y}$
$\sqrt[5]{\frac{a^{3} b}{2}}$

ankarskogC 2021-10-17

Express the following fraction in simplest form, only using positive exponents.
$\frac{20 y^{2} h^{- 1}}{{(5 y^{5} h^{2})}^{2}}$

Lewis Harvey 2021-10-17

Using the rules for exponents, simplify the following,
${(\frac{a^{- 1}}{b^{2}})}^{- 1} \frac{{(a^{2})}^{3}}{b^{3} b^{4}}$

glamrockqueen7 2021-10-16

Simplify each expression. Express final results without using zero or negative integers as exponents.
${(\frac{y^{3}}{x^{- 4}})}^{- 2}$

BenoguigoliB 2021-10-14

Differentiate the following. Simplify your answer completly. Write your answer without negative exponents or rational exponents.
$f (x) = (3 x^{4} + 5 x - 2) (2 x^{3} + \frac{5}{x^{4}})$
Find the slope of the line tangent to $f (x) = \tan x$ at $x = \frac{π}{4}$

ringearV 2021-10-14

Rewrite the expression using only positive exponents, and simplify. (Assume that any variables in the expression are nonzero.)
${(\frac{3 u^{2} v^{- 1}}{3^{3} u^{- 1} v^{3}})}^{- 2}$

Line 2021-10-12

Condense each expression. Answers should not contain negative exponents. Assume that every variable is a positive real number.
${(\frac{121}{100})}^{- \frac{3}{2}}$

Lennie Carroll 2021-10-11

Using laws of exponents, simplify and then evaluate:
1. ${(3^{3} \cdot 3)}^{2} + {[\frac{{(2)}^{5}}{{(- 2)}^{2}}]}^{3}$
2. $\frac{{(- 3)}^{7}}{{(- 3)}^{2}} {(- 3)}^{3}$

abondantQ 2021-10-08

Solve the exponential equation $32^{x} = 8$ by expressing each side as a power of the same base and then equating exponents.

remolatg 2021-10-02

Find the distance between the pair of points (3.5, 8.2) and (-0.5, 6.2). If necessary, express answers in simplified radical form and then round to two decimals places.

amanf 2021-10-01

Find, to the nearest tenth of a second, the period of a pendulum of length 3.5 feet.

Nann 2021-10-01

Find the rectangular coordinates of the pair of points $(6, π)$ and $(5, 7 \frac{π}{4})$ . Then find the distance, in simplified radical form, between the points.

ka1leE 2021-09-30

Simplify and express the final result using positive exponents.
${(\frac{8 y^{2}}{2 y^{- 1}})}^{- 1}$

emancipezN 2021-09-30

Expand the expression and write your answer without the exponents.
$\log_{4} \frac{x^{2} y^{4}}{8}$

sagnuhh 2021-09-30

Solve for the following exponential equations. Use the natural logarithm in your answer(where applicable) for full credit. Use rules for exponents, factor and simplify.
$10^{6 - 3 x} = 18$

sagnuhh 2021-09-29

Model the following data using an exponential function of the form $f (x) = A b^{x}$ . Set up a system of equations, and solve it to get A and b.
f(x) is exponential and goes through the points (1, 2) and (4, 6).

Marvin Mccormick 2021-09-29

Solve the exponential equation $6^{\frac{x - 3}{4}} = \sqrt{6}$ by expressing each side as a power of the same base and then equating exponents.

Solving equations with radicals and rational exponents is encountered in Algebra 1 level, which makes a study of exponents relatively difficult without good examples that start with an analysis of variables and mathematical objectives. Remember to start with the use of the radical sign and focus on those multiplications that are being repeated. It is much easier to focus on answers that have been provided to determine all the surds and related numbers. Take your time to post your questions and see how similar problems have been resolved.

Algebra I

Level Up Your Exponents and radicals Skills with Practice Problems and Expert Insights