Simplify the expression x⁵ × x² ÷ x⁴ using the laws of indices.

August 5, 2026Mathematics

ScanSolve AI Answer

August 5, 2026

Answer

$x^3$

Huu hapa utatuzi wa swali la 6:

Tunapewa usemi: $x^5 \times x^2 \div x^4$

Hatua ya 1: Tumia sheria ya viashiria kwa kuzidisha, ambayo inasema $a^m \times a^n = a^{m+n}$ . $x^5 \times x^2 = x^{(5+2)} = x^7$

Hatua ya 2: Tumia sheria ya viashiria kwa kugawanya, ambayo inasema $a^m \div a^n = a^{m-n}$ . $x^7 \div x^4 = x^{(7-4)} = x^3$

Usemi uliorahisishwa ni: $\boxed{x^3}$ Jibu sahihi ni A.

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Huu hapa utatuzi wa swali la 6: Tunapewa usemi: x^5 × x^2 ÷ x^4 Hatua ya 1: Tumia sheria ya viashiria kwa kuzidisha, ambayo inasema a^m × a^n = a^m+n.

Asked on August 5, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on August 5, 2026

Huu hapa utatuzi wa swali la 6: Tunapewa usemi: x^5 × x^2 ÷ x^4 Hatua ya 1: Tumia sheria ya viashiria kwa kuzidisha, ambayo inasema a^m × a^n = a^m+n. x^5 × x^2 = x^(5+2) = x^7 Hatua ya 2: Tumia sheria ya viashiria kwa kugawanya, ambayo inasema a^m ÷ a^n = a^m-n. x^7 ÷ x^4 = x^(7-4) = x^3 Usemi uliorahisishwa ni: x^3 Jibu sahihi ni A. 3 done, 2 left today. You're making progress.