Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
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Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)
Answer:
1 hour = 10/x
Step-by-step explanation:
Example: the man walks 10 miles in 5 hours. How many in 1 hour: 10/5= 2 miles
<span>24r - 3(2r - 5t) - 4t
= 24r - 6r + 15t - 4t
= 18r + 11t
answer
</span><span>18r + 11t</span>
Answer:
a) $4000
b) $2000
Step-by-step explanation:
a)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 4
interest = 4000
b)
interest = Principal x rate as decimal x time
interest = 20,000 x 0.05 x 2
interest = 2000
you save $2000 if you pay after 2 years
Answer:
The radius of the circle is 12.006 m.
Step-by-step explanation:
Let us assume the radius of the circle = r
Circumference = 75.4 m
Now, CIRCUMFERENCE OF A CIRCLE = 2 π r
⇒ 75 .4 m = 2 π r
Now, putting π = 3.14, we get:
75 .4 m = 2 (3.14) r
⇒ 75.4 = 6. 28 r
or, r = 75.4/6.28 = 12.006
or, r = 12.006 m
Hence, the radius of the circle with circumference 75.4 m is 12.006 m.
