Answer:
y=8*4^x
Step-by-step explanation:
Let the exponential function be of the form y=A*B^x
We want to find constant A and B.
So I'm going to use (1,32) giving me 32=A*B
I'm going to use (4,2048) giving me 2048=A*B^4
2048/32=64
A*B^4/A*B=B^3
So If you divide the equation 2048=A*B^4 by 32=A*B
we get 64=B^3
which gives us B=4
Since 32=A*B and B=4 then A=8
So the answer is y=8*4^x
The volume of a rectangular prism is 336 cubic centimeters. The height of the prism is 21 centimeters.
Suppose the base of the pyramid has length = l units, and width = w units.
Suppose that the height of the pyramid is of h units,
then:
is the volume of that pyramid.
The base is a rectangle with length = L units, and width = W units, so its area is:
The volume of a rectangular prism is 336 cubic centimeters.
3 x 336 = lwh
lwh = 1008
The area of the base of the prism is 48 square centimeters.
48 x h = 1008
h = 21
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Answer:
7h
Step-by-step explanation:
7x5
5x7
x to the five sevenths power
x to the seven fifths power
The radical expression is an expression with rational exponents that can be written after applying the properties of the integer exponent.
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that the expression:
As we know, the expression can be defined as the combination of constants and variables with mathematical operators.
From the properties of the integer exponent:
Integer exponents are exponents that should be integers. It may be a positive or negative number
Applying the properties of the integer exponent:
Thus, the radical expression is an expression with rational exponents that can be written after applying the properties of the integer exponent.
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Answer:
x to the seven fifths power
Step-by-step explanation:
x to the power 7: x⁷
Fifth root: (x⁷)^⅕ = x^(7/5)