Simplify the following expression giving your answer in index form: a) 8×6 / 8×2

Question

ScanSolve AI Tutor · Accepted Answer

hapa kuna suluhisho la maswali uliyotuma:

d) Tatua $5^8 \div 5^5$ .

Tumia sheria ya viashiria kwa kugawanya.
Wakati wa kugawanya namba zenye 'base' (msingi) sawa, tunatoa viashiria (exponents).
$a^m \div a^n = a^{m-n}$
Hivyo,
$5^8 \div 5^5 = 5^{8-5}$
Fanya hesabu ya kutoa kwenye viashiria.
$5^{8-5} = 5^3$
Jibu la mwisho ni:
$\boxed{5^3}$
3a) Rahisisha usemi ufuatao ukitoa jibu lako katika 'index form': $8x^6 \div 8x^2$ .
Andika upya usemi kama sehemu.
$8x^6 \div 8x^2 = \frac{8x^6}{8x^2}$
Gawanya namba (coefficients) na vigezo (variables) tofauti.
Gawanya coefficients: $8 \div 8 = 1$ .
Gawanya vigezo kwa kutumia sheria ya viashiria: $x^6 \div x^2 = x^{6-2}$ .
Fanya hesabu ya kutoa kwenye viashiria.
$1 \cdot x^{6-2} = x^4$
Jibu la mwisho ni:
$\boxed{x^4}$

Simplify the following expression giving your answer in index form: a) 8x6 / 8x2