Area=1/2 times bas time height
given that area=10
height=5
find base

10=1/2 times base times 5
times 2 both siddes
20=base times 5
divide oth sides by 5
4=base

the base is 4m

5 0

3 years ago

Is the statement (3^5)^4 = (3^4)^5 true? Explain your reasoning.

Evgesh-ka [11]

Answer:

We use the power rule of exponents to find out that both sides of the equation equal 3^20 (or 3486784401).

Step-by-step explanation:

For this example, we can just use a calculator and find out that both (3^5)^4 and (3^4)^5 are the same value. But how do we know this algebraically?

When dealing with exponents, we must have a good understanding of the properties of exponents before doing any calculations.

For this example, I recognize that the power rule of exponents is being used:

$(a^{m})^{n} = a^{m*n}$

So let's apply this rule to the given equation.

(3^5)^4 = (3^4)^5

3^(5*4) = 3^(4*5)

3^20 = 3^20

Now we know both sides of the equation equal 3^20 (or 3486784401).

3 0

2 years ago