Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why. Yes, she is correct. No, the exponent should be positive 8. No, she multiplied the exponents instead of adding them. No, she multiplied the exponents instead of subtracting them.

No, she multiplied the exponents instead of adding them.

Step-by-step explanation:

Aubrey says that the product of 10^4 and 10^–2 is 10^–8.

The product of 10^4 × 10 ^-2

Using the power rule

x^a × x^b = x^a+b

Hence,

10^4 × 10 ^-2

= 10^4+(-2)

= 10^4 -2

= 10^2

Hence, Aubrey is wrong because ,

No, she multiplied the exponents instead of adding them.

10^-8 is wrong.

The correct answer is 10^2

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)

step-by-step explanation:

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