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3 years ago

Write using exponents. 4.4.4.a.b.a.b.

Mathematics

2 answers:

hram777 [196]3 years ago

7 0

4^3 a^2 b^
Because there are 3 4s
2 a’s
2 b’s

natita [175]3 years ago

6 0

Answer:

4^3 x a^2 x a^2

Step-by-step explanation:

This should be done with the understanding of exponents. y x y would be y^2 because it is multiplying itself. Now use this for you question.

there are 3 4's so.. it would be 4^3

There are 2 a's so it would be a^2

There are 2 b's so it would be a^2

TACK ON THE MULTIPLICATION SIGNS TO GET:

4^3 x a^2 x a^2

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Answer:

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Step-by-step explanation:

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Using pythagoras:

$hypotenuse^2=leg1^2+leg2^2$

substituting our values, and indicating that leg 1 is height h:

$(10in)^2=h^2+(4in)^2$

$100in^2=h^2+16in^2$

and solving for the height:

$h^2=100in^2-16in^2\\h^2=84in^2\\h=\sqrt{84in^2}\\ h=9.165in$

and finally we calculate the volume using this height and the area of the base:

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rounding to the nearest cubic inch: $V=196in^3$

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4 years ago