Simplifying Exponential Expressions: 2^(2/3) * 2^(1/7) / 2^(1/2)

Learn how to simplify an expression with rational exponents by applying the product and quotient rules. The solution involves adding exponents in the numerator and subtracting the exponent in the denominator to reach 2^(13/42).

Answer

To solve the expression shown in the image, we use the rules of exponents:

The given expression is:

Step 1: Simplify the numerator
Using the product rule (

To add the fractions, find a common denominator, which is

So, the numerator is

Step 2: Simplify the whole expression
Now, divide by the denominator using the quotient rule (

To subtract the fractions, find a common denominator, which is

Thus, the simplified result is:

Related math solutions

Simplifying Radical Expressions and Evaluating Algebraic Expressions

Step-by-step solutions for simplifying complex radical expressions and evaluating algebraic polynomials with square roots based on math textbook problems.

Finding Reflections Across the Axis of Symmetry

Learn how to find the reflections of given coordinate points across the vertical axis of symmetry x = -3 using horizontal distance formulas.

Solve Linear Equation 2(m+4)=30

Find the value of m in the equation 2(m+4)=30 by simplifying and isolating the variable.

Solve 11 = 4x + 7: Two-Step Equation

Solve the two-step equation 11 = 4x + 7 by subtracting 7 from both sides, then dividing by 4. The solution is x = 1.

Rewrite y + 7 = 1/5(x + 10) in Slope-Intercept Form

Learn how to convert the linear equation y + 7 = 1/5(x + 10) into slope-intercept form by distributing and isolating y to get y = 1/5x - 5.

Simplifying Exponential Expressions: 2^(2/3) * 2^(1/7) / 2^(1/2)

Question

Answer

Related math solutions

Débloquez la version web à vie

Related math solutions