Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
Answer:
2640mm
Step-by-step explanation:
I'm assuming you need the area of the rectangle which the circles don't take up.
First, to find the area of the whole rectangle:
length x width
to find length:
the length is 1 circle, therefore it is the diameter of the circle, which is 32 x 2 = 64mm
to find width:
the width is 3 circles, which is the radius 6 times, so 32 x 6 = 192mm
So, area of rectangle = 64 x 192 = 12288mm
Now to find the area the circles take up:
area of 1 circle =

=

=

As we have 3 circles, we multiply this by 3:

Finally we subtract the area of the three circles from the area of the rectangle:

As we need to round it to 3 significant figures, the answer is 2640mm
Answer:
(-340)/231
Step-by-step explanation:
Simplify the following:
((-34)/33)/(7/10)
Multiply the numerator by the reciprocal of the denominator, ((-34)/33)/(7/10) = (-34)/33×10/7:
(-34×10)/(33×7)
33×7 = 231:
(-34×10)/231
-34×10 = -340:
Answer: (-340)/231