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Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
The GCF is 5 so the new expression would be: 5(x+2)
Given:
The expression is
![(-8)^3\cdot (-8)^4](https://tex.z-dn.net/?f=%28-8%29%5E3%5Ccdot%20%28-8%29%5E4)
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
![(-8)^3\cdot (-8)^4](https://tex.z-dn.net/?f=%28-8%29%5E3%5Ccdot%20%28-8%29%5E4)
The repeated multiplication form of this expression is
![=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)]](https://tex.z-dn.net/?f=%3D%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D%5Ccdot%20%5B%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5D)
![=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)](https://tex.z-dn.net/?f=%3D%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29%5Ccdot%20%28-8%29)
Clearly, (-8) is multiplied seven times by itself. So,
![=(-8)^7](https://tex.z-dn.net/?f=%3D%28-8%29%5E7)
Therefore, the repeated multiplication form of the given expression is
and the expression as single power is
.
Answer:
3.2 x 10^13
Step-by-step explanation:
(8x10^4)(4x10^8)
reorder the terms using the commutative property
(8x4)x(10^4x10^8)
multiply
32x (10^4 x 10^8)
= 32 x 10^4+8
= 32 x 10^12
now convert to scientific notation
=3.2 x 10^13