Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

Mathematics

2 answers:

muminat3 years ago

6 0

(4^7/5^2)^ 3

= 4^21 / 5^6

which according to my calculator is 281,474,976.7 approximately

Galina-37 [17]3 years ago

3 0

Multiply the exponents

for example, (2^3)^5 = 2^(3*5) = 2^15 
why? 
2^3 = 2*2*2 
(2^3)^5 = 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2 * 2*2*2 

^ is just shorthand for ***... 
Just as * is shorthand for +++... 

2*3*4 = 2+2+2 + 2+2+2 + 2+2+2 + 2+2+2

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Norma-Jean [14]

Answer:

Base = 10 cm

Height = 60 cm

Step-by-step explanation:

The formula for the area of a triangle is $area=\frac{1}{2} *b*h$ , where b is the length of the base of the triangle, and h is the length of the height of the triangle.

We know the area is 300, and since the height of the triangle is 6 times its base, we know that $h=6*b$ . We can plug in these values into our formula for the area of a triangle, which gives us the following equation to solve:

$300=\frac{1}{2} *b*(6*b)$

$3b^2=300$

$b=\sqrt{100} =10$

The base of the triangle is 10 centimeters.

Now that we know the base of the triangle, we can plug its value in to the original formula to solve for the height of the triangle, which gives us the following equation:

$300=\frac{1}{2} *10*h$