Elevate Your Exponents and Radicals Skills Today

High School
Algebra
Algebra I
Exponents and radicals

Recent questions in Exponents and radicals

Chardonnay Felix 2021-09-20

Use the properties of logarithms to expand the following expression.
$\log \sqrt{\frac{x y^{7}}{z^{3}}}$

Reeves 2021-09-20

Simplify the expressions and write answers with positive exponents

slaggingV 2021-09-20

Add and subtract but first simplify radicals
$- 5 \sqrt{8 x} - 6 \sqrt{18 x}$

Nann 2021-09-20

Rationalize the denominator and simplify. All variables represent positive real numbers.
$\frac{3 \sqrt{y}}{2 \sqrt{x} - 3 \sqrt{y}}$

slaggingV 2021-09-20

Simplify: $\sqrt[6]{x^{4}}$

defazajx 2021-09-20

Simplify the radical expression
$\sqrt[3]{\frac{11 a^{2}}{64 b^{6}}}$

nitraiddQ 2021-09-20

Use the laws of exponents to simplify the expressions
$\frac{4^{4.2}}{4^{3.7}}$

ka1leE 2021-09-20

Use the properties of logarithms to expand the following expression.
$\log (\frac{4 {(x + 6)}^{5}}{\sqrt{x^{3}}})$

glamrockqueen7 2021-09-19

Perform the indicated operation and express all answers with a rational denominator
$2 a^{2} b \sqrt[3]{4 a^{3} b} \cdot - 6 a b^{2} \sqrt[3]{18 a b^{4}}$

Rui Baldwin 2021-09-19

Express each radical expression in simplest radical form.
$\sqrt{\frac{75}{81}}$

ossidianaZ 2021-09-19

Evaluate the expression.
$\sqrt{2} \sqrt{50}$

Jerold 2021-09-19

Find the distance between $(- \frac{1}{4}, - \frac{1}{7})$ and $(\frac{3}{4}, \frac{6}{7})$ pair of points. If necessary, express answers in simplified radical form and then round to two decimals places.

facas9 2021-09-19

Solve the exponential equation 1 $25^{x} = 625$ by expressing each side as a power of the same base and then equating exponents.

DofotheroU 2021-09-19

Find the rectangular coordinates of the pair of points $(2, 2 \frac{π}{3})$ and $(4, \frac{π}{6})$ . Then find the distance, in simplified radical form, between the points.

Lipossig 2021-09-18

Determine the value of the variable for which the expression is defined as real number.
${(\frac{1}{x^{2} - 2 x - 63})}^{\frac{1}{2}}$

avissidep 2021-09-18

Find the distance between the pair of points (4, -1) and (-6, 3) . If necessary, express answers in simplified radical form and then round to two decimals places.

chillywilly12a 2021-09-18

Given the complex number $z_{1} = 12 (\cos \frac{13 π}{8} + i \sin \frac{13 π}{8})$ and $z_{2} = 2 (\cos \frac{11 π}{8} + i \sin \frac{11 π}{8})$ , express the result of $\frac{z_{1}}{z_{2}}$ in rectangular form with fully simplified fractions and radicals.

bobbie71G 2021-09-17

Express each radical expression in simplest radical form.
$4 \sqrt{52 x^{3} y^{2}}$

Lipossig 2021-09-17

Evaluate the radical expression, and express the result in the form $a + b i .$
$\frac{\sqrt{- 36}}{\sqrt{- 2} \sqrt{- 9}}$

Harlen Pritchard 2021-09-17

Find the derivative for the given function. Write your answer using positive and negative exponents and fractional exponents instead radicals.
$h (x) = {((6 x^{- 4} - 6 x + 9) (7 x^{2} + 9 x + 8))}^{\frac{1}{2}}$

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