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Answer:
(2/3)^5 ×(2/3) = (2/3)^6 = 64/729
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1) Simplify: (⅔)^5 × (⅔)
Answer: You can take the power of ⅔ as 1 because (⅔)^1 = (⅔)
(⅔)^5 × (⅔)^1
(⅔)^5+1 [a^m × a^n = a^m+n]
(⅔)^6 ---> Answer
2) Find the value of m in 2^m-3 = 1
Answer: We can take the value of 1 as 2^0 because any number raised to the power zero is always 1.
2^m-3 = 2^0
On equating the powers of 2 on both the sides:
m-3=0
m=3 ---> Answer
3) Find the value of m in 3^m=1/9
Answer: 3^m=1/(3^3)
3^m=3^(-3)
On equating the powers of 3 on both the sides:
m=-3 ---> Answer
4) Evaluate: {(a^-3)(b^-4)}/{(a^-2)(b^-3)}
Answer: Refer to the pic I have attached above.
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