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

Mathematics

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Answer

x3x^3

Step-by-step solution

2 steps

Huu hapa utatuzi wa swali la 6:

Tunapewa usemi:

x5×x2÷x4x^5 \times x^2 \div x^4

  1. Tumia sheria ya viashiria kwa kuzidisha, ambayo inasema am×an=am+na^m \times a^n = a^{m+n}.

    x5×x2=x(5+2)=x7x^5 \times x^2 = x^{(5+2)} = x^7

  2. Tumia sheria ya viashiria kwa kugawanya, ambayo inasema am÷an=am−na^m \div a^n = a^{m-n}.

    x7÷x4=x(7−4)=x3x^7 \div x^4 = x^{(7-4)} = x^3

    Usemi uliorahisishwa ni:

    x3\boxed{x^3}

    Jibu sahihi ni A.

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