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Find the value of: 26⁻¹⁹ ÷ 26¹⁸ × 26³
Question

Find the value of: 26⁻¹⁹ ÷ 26¹⁸ × 26³

A.

26⁻³⁵

B.

26⁻⁴⁰

C.

26⁻³⁴

D.

26⁻⁴⁵

Correct option is C

Given: 

26⁻¹⁹ ÷ 26¹⁸ × 26³ 

Concept Used: ​

ma÷mb=mab ma×mb=ma+bm^a \div m^b = m^{a-b} \\ \ \\ m^a\times m^b = m^{a+b} 

Solution: 

2619÷2618×263  =261918+3 =2634 26⁻¹⁹ ÷ 26¹⁸ × 26³ \\ \ \\\ = 26^{-19 -18 +3} \\ \ \\ = 26^{-34}​​

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