When you raise a exponent to an exponent, multiply exponents.
When you multiply powers with the same base add exponents.
<span>a. (y^3)^2y^4 = y^6y^4 = y^10
</span><span>b. (z^-3)^-2z^3
= z^6z^3 = z^9</span>
Answer:
Step-by-step explanation:
Answer:
x = 9.2
Step-by-step explanation:
The scale factor is 2 from the triangle on the left to the triangle on the right
2*2 = 4
Multiply the scale factor times the number on the left to get the unknown on the right
2*4.6 =9.2
Answer:
The volume of the bottle is 46.56cm³
Step-by-step explanation:
Thinking of the bottle as a cylinder we can solve the problem as follows
radius = half of diameter
d = 2.4cm
r = 2.4cm / 2 = 1.2cm
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 10.3cm
π = 3.14
r = radius = 1.2cm
v = (π * r²) * h
we replace with the known values
v = (3.14 * (1.2cm)²) * 10.3cm
v = (3.14 * 1.44cm²) * 10.3cm
v = 4.52cm² * 10.3cm
v = 46.56cm³
The volume of the cylinder is 46.56cm³