Elevate Your Exponents and Radicals Skills Today

High School
Algebra
Algebra I
Exponents and radicals

Recent questions in Exponents and radicals

Anonym 2021-09-29

Simplify and express the final result using positive exponents.
${(x^{- 3} y^{4})}^{- 2}$

ankarskogC 2021-09-28

Solve the exponential equation $3^{x} = 81$ by expressing each side as a power of the same base and then equating exponents.

tabita57i 2021-09-26

Simplify and express the final result using positive exponents.
${(\frac{4 a^{- 2}}{3 b^{- 2}})}^{- 2}$

EunoR 2021-09-24

A function value and a quadrant are given. Find the other five function values. Give exact answers, uing radicals as needed. Rationalize all denominators.
$\cot θ = - 4$ , Quandrant 4

ediculeN 2021-09-23

For the exponential fuction $f (x) = 10^{x}$ , find $f (\frac{3}{2})$
$f (\frac{3}{2}) = ?$
Type an exact answer, using radicals as needed.

Dottie Parra 2021-09-23

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.
$4^{1 - x} = 3^{2 x + 5}$

cistG 2021-09-23

Adding and subtracting radicals $2 x \sqrt{3 x^{2} y} \cdot 3 \sqrt{15 x y^{3}}$

FobelloE 2021-09-23

Simplify,
$4 \sqrt{18} + 5 \sqrt{27} - 8 \sqrt{32}$

CheemnCatelvew 2021-09-22

The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by $I = 10^{R}$
A quake measuring 8.5 on the Richter scale would be severe. Express the intensity of such a quake in exponential form and in radical form. Find Radical Form=

Isa Trevino 2021-09-22

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
$3^{1 - x} = \frac{1}{27}$

abondantQ 2021-09-22

Find the solution:
$6 = \sqrt{x^{2} - 2 x + 12}$

facas9 2021-09-22

Express each radical expression in simplest radical form.
$\sqrt[3]{56}$

coexpennan 2021-09-22

Rewrite the equation for this circle in Standard Form:
$x^{2} - 16 x + y^{2} - 10 y + 73 = 0$

Wierzycaz 2021-09-22

The following are expressions that occur in calculus. Write each expression as a single quotient in which only positive exponents and/or radicals appear.
$2 \times {(x^{2} + 1)}^{\frac{1}{2}} + x^{2} \cdot \frac{1}{2} {(x^{2} + 1)}^{- \frac{1}{2}} \cdot 2 x$

FobelloE 2021-09-22

Write the radical expression using exponents and each exponential expression using radicals.
$10^{- \frac{3}{2}}$

Efan Halliday 2021-09-21

Express $2 \sqrt{6} (8 - 4 \sqrt{3})$ as a product in simplest form.

Ayaana Buck 2021-09-21

Multiply and simplify where possible.
$(4 \sqrt[3]{3}) (5 \sqrt[3]{9})$

Clifland 2021-09-21

Given that $\cos (θ) = \frac{3 \sqrt{13}}{13}$ , and $θ$ is in Quadrant 4, what is $\sin (θ)$ ? Give your answer as an exact fraction with radical, if necessary.

postillan4 2021-09-21

In solving $\sqrt{2 x - 1} + 2 = x$ , why is it a good idea to isolate the radical term? What if we don’t do this and simply square each side? Describe what happens.

ossidianaZ 2021-09-20

Determine whether the statement makes sense or does not make sense, and explain your reasoning : "I expanded $\log_{4} \sqrt{\frac{x}{y}}$ by writing the radical using a rational exponent and then applying the quotient rule, obtaining $\frac{1}{2} \log_{4} x - \log_{4} y$

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