Find the value of 2^(m+n)

Published on November 9, 2024

Algebra

To find 2^(m+n), solve for m and n in the equations 2^m = 1 and 2^n = 16, then substitute the values into the expression.

Question

Answer

Here’s how to solve the problem:

We are given two equations:

We want to find the value of

First, let’s solve for

. Since any non-zero number raised to the power of 0 is 1, we have

Next, let’s solve for

. Since

, we have

, which means

Now we can find

So the answer is 16.

Final Answer: The final answer is

🚀 Try Free Math Help Now!🏠 Learn More Powerful Features

Related math solutions

Solve Rational Equation (y-1)/(1-y)=1

Determine that the rational equation (y-1)/(1-y)=1 has no solution because the denominator is the negative of the numerator, making the left side equal -1.

Complex Number Roots Sum Problem: (p+q)^2 with Square Roots of ±1 Products

Find the sum of all possible values of (p+q)^2 where p and q are products of square roots of sequences a_n and b_n taking values 1 or -1, given constraints on their products. The solution uses i^k powers based on counts of -1 terms and yields possible values 2i and -2i.

Solving Linear Equation 10x - 7 = 73 for x

Solve the linear equation 10x - 7 = 73 by adding 7 to both sides to get 10x = 80, then dividing by 10 to find x = 8.

Find the Slope of the Line y = 3x + 4

Learn how to find the slope of a linear equation by comparing y = 3x + 4 to the slope-intercept form y = mx + b, resulting in a slope of 3.

Esercizi Matematica Maturita Sistema Lineare Disequazioni Parabola Retta Perpendicolare

A multi-topic Italian math worksheet covering a 2x2 linear system, quadratic equations, the perpendicular line through a point, graphing a parabola, and solving polynomial and rational inequalities. The solutions use elimination for the system, the discriminant and sign analysis for the equations and inequalities, and slope rules for the perpendicular line.

🔎 Explore All Shared Math Solutions