Simplify: (54 × 54) / 53

Huu hapa ni ufumbuzi wa swali hili. Swali: Rahisisha: (5⁴ × 5⁴)/(5³) Step 1: Rahisisha nambari ya juu (numerator) kwa kutumia sheria ya 'indices' a^m × aⁿ = a^(m+n). 5⁴ × 5⁴ = 5⁴⁺⁴ = 5⁸; Step 2: Rahisisha usemi mzima kwa kutumia sheria ya 'indices' (a^m)/(aⁿ) = a^(m−n). (5⁸)/(5³) = 5⁸⁻³ = 5⁵ Jibu ni 5⁵.

Simplify: (54 × 54) / 53

Huu hapa ni ufumbuzi wa swali hili. Swali: Rahisisha: (5⁴ × 5⁴)/(5³) Step 1: Rahisisha nambari ya juu (numerator) kwa kutumia sheria ya 'indices' a^m × aⁿ = a^(m+n). 5⁴ × 5⁴ = 5⁴⁺⁴ = 5⁸; Step 2: Rahisisha usemi mzima kwa kutumia sheria ya 'indices' (a^m)/(aⁿ) = a^(m−n). (5⁸)/(5³) = 5⁸⁻³ = 5⁵ Jibu ni 5⁵.

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Simplify: (54 x 54) / 53

September 11, 2026Mathematics

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Answer

5^5

Step-by-step solution

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Huu hapa ni ufumbuzi wa swali hili.

Swali: Rahisisha: $\frac{5^4 \times 5^4}{5^3}$

Rahisisha nambari ya juu (numerator) kwa kutumia sheria ya 'indices' $a^m \times a^n = a^{m+n}$ .
$5^4 \times 5^4 = 5^{4+4} = 5^8$
Rahisisha usemi mzima kwa kutumia sheria ya 'indices' $\frac{a^m}{a^n} = a^{m-n}$ .
$\frac{5^8}{5^3} = 5^{8-3} = 5^5$
Jibu ni $5^5$ .

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Simplify: (54 x 54) / 53

Answer

Step-by-step solution

Rahisisha nambari ya juu (numerator) kwa kutumia sheria ya 'indices' am×an=am+na^m \times a^n = a^{m+n}am×an=am+n.

Rahisisha usemi mzima kwa kutumia sheria ya 'indices' aman=am−n\frac{a^m}{a^n} = a^{m-n}anam​=am−n.

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Rahisisha nambari ya juu (numerator) kwa kutumia sheria ya 'indices' $a^m \times a^n = a^{m+n}$ .

Rahisisha usemi mzima kwa kutumia sheria ya 'indices' $\frac{a^m}{a^n} = a^{m-n}$ .