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Final: Three Rules, One Line

Part of the Exponents & Polynomials section of Coddy's Algebra journey. Lesson 59 of 64.

When an expression uses several exponent rules, work from the inside out. First simplify the power of a power by multiplying the exponents. Then multiply the powers with the same base by adding their exponents. Then divide by subtracting the exponents.

For (x^2)^3 × x ÷ x^4: the power of a power gives (x^2)^3 = x^6. The product gives x^6 × x = x^7, because x on its own has exponent 1. The quotient gives x^7 ÷ x^4 = x^3.

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Challenge

Medium

Simplify (x^4)^2 * x / x^3 to a single power of x.

Try it yourself

(x^4)^2 * x / x^3

Simplify the expression

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