3. Simplify and write in exponential form a) (-3)^-3 x (-3)^-2 x (-3)^-5
Answers
Answer:
16×7=112
Step-by-step explanation:
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Answer:
(ix) (220 ÷ 215) × 23 (x) 8t ÷ 82
Solution:
To solve this question, we must remember the laws of exponents.
Here are some important laws of exponents
1.) am × an = am + n
2.) am × bm = (ab)m
3.) am ÷ an = am - n
4.) (am)n = amn
5.) ao = 1
(i) 32 × 34 × 38 = 32 + 4 + 8 = 314 [am × an = am + n]
(ii) 615 ÷ 610 = 615 - 10 = 65 [am ÷ an = am - n]
(iii) a3 × a2 = a3 + 2 = a5 [am × an = am + n]
(iv) 7x × 72 = 7x + 2 [am × an = am + n]
(v) (52 )3 ÷ 53 = 56 ÷ 53 [(am)n = amn]
= 56 - 3 [am ÷ an = am - n]
= 53
(vi) 25 × 55 = (2 × 5)5 [am × bm = (ab)m]
= 105
(vii) a4 × b4 = (ab)4 [am × bm = (ab)m]
(viii) (34 )3 = 312 [(am)n = am n]
(ix) (220 ÷ 215 )× 23 = 220 - 15 × 23 [am ÷ an = am - n]
= 25 × 23
= 28 [am × an = am + n]
(x) 8t ÷ 82 = 8t - 2 [am ÷ an = am - n]
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Step-by-step explanation:
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