Question

find the value: [(-4/5)⁵ ÷ (-4/5)⁹] × (-4/5)⁶​

Answer 1

Answer:

(-4/5) ²  or   16/25

Step-by-step explanation:

Rule 1:- While dividing the numbers with exponents of the same base, subtract the exponents and write the base as it is.

Rule 2:- While multiplying the exponents with the same base, add the exponents and write the base as it is.

Applying rule 1,

The powers of the two (-4/5) in the brackets are 5 and nine respectively.

Now, 5-9 = the solved exponent of the two

= -4 is the exponent obtained

Now, (-4/5) ∧ -4 × (-4/5) ∧ 6

According to the rule 2,

-4 + 6 = The exponent of the final answer

2 = The exponent of the final answer

∴ The solution of the equation = (-4/5) ²

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