Evaluate the expression: 13³-13⁷/26²

Calculate 13³: Calculate 13³. 13³ = 13 * 13 * 13 = 2197.Calculate 13⁷: Calculate 13⁷. 13⁷ = 13 * 13 * 13 * 13 * 13 * 13 * 13 = 62748517.Calculate 26²: Calculate 26². 26² = 26 * 26 = 676.Divide 13⁷ by 26²: Divide 13⁷ by 26². 13⁷ / 26² = 62748517 / 676 ≈ 92805.555.Subtract the result: Subtract the result from 13³. 13³ - (13⁷ / 26²) = 2197 - 92805.555 ≈ -90608.555.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Evaluate the expression: $13^3-\frac{13^7}{26^2}$

View step-by-step help

Home

Math Problems

Algebra 1

Simplify exponential expressions using exponent rules

Full solution

Q. Evaluate the expression:

13^3-\frac{13^7}{26^2}

Calculate $13^3$ : Calculate $13^3$ . $\newline$ $13^3 = 13 \times 13 \times 13 = 2197$ .
Calculate $13^7$ : Calculate $13^7$ . $\newline$ $13^7 = 13 \times 13 \times 13 \times 13 \times 13 \times 13 \times 13 = 62748517$ .
Calculate $26^2$ : Calculate $26^2$ . $\newline$ $26^2 = 26 \times 26 = 676$ .
Divide $13^7$ by $26^2$ : Divide $13^7$ by $26^2$ . $\newline$ $13^7 / 26^2 = 62748517 / 676 \approx 92805.555$ .
Subtract the result: Subtract the result from $13^3$ . $\newline$ $13^3 - \left(\frac{13^7}{26^2}\right) = 2197 - 92805.555 \approx -90608.555.$