Why is 6(100^0)= 6? Include the zero exponent property in your answer

Using the zero exponent property we have determined that

We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.

Step-by-step explanation:

Zero exponent rule

We know that the zero exponent rule defines that any number raised to a power of zero will be equal to 1.

Given the expression

Let us solve the left-hand side of the expression

remove the parentheses

Apply the zero exponent property:  

                     ∵ 100⁰ = 1

Therefore, using the zero exponent property we have determined that

We get the answer because according to the zero exponent property any number raised to a power of zero will be equal to 1.

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)