Answer:
Add the exponents and keep the same base Then find the reciprocal and change the sign of the exponent .
Step-by-step explanation:
Given the expression (2^3)(2^- 4), we will apply the law of indices below to solve the equation;
![a^m \times a^n = a^{m+n}\\a^{-m} =\frac{1}{a^m}](https://tex.z-dn.net/?f=a%5Em%20%5Ctimes%20a%5En%20%3D%20a%5E%7Bm%2Bn%7D%5C%5Ca%5E%7B-m%7D%20%3D%5Cfrac%7B1%7D%7Ba%5Em%7D)
Applying this on the given expression;
![(2 ^ 3)(2 ^{-4})](https://tex.z-dn.net/?f=%282%20%5E%203%29%282%20%5E%7B-4%7D%29)
Step 1: Add the exponents and keep the same base as shown;
![= (2 ^ 3)(2 ^{-4})\\\\= 2^{3+(-4)}\\\\ = 2^{3-4}\\\\= 2^{-1}](https://tex.z-dn.net/?f=%3D%20%282%20%5E%203%29%282%20%5E%7B-4%7D%29%5C%5C%5C%5C%3D%202%5E%7B3%2B%28-4%29%7D%5C%5C%5C%5C%20%3D%202%5E%7B3-4%7D%5C%5C%5C%5C%3D%202%5E%7B-1%7D)
Step 2: Find the reciprocal and change the sign of the exponent
![= 2^{-1} \\= \frac{1}{2^1}\\= \frac{1}{2}](https://tex.z-dn.net/?f=%3D%202%5E%7B-1%7D%20%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%5E1%7D%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D)
AKA: 8.52x10^3=8520
^^Also Known As
10x10x10x10x10x10=1000000
![{10}^{6}](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B6%7D%20%20)
means 10x10x10x10x10x10
as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000
Step-by-step explanation:
ur are choosing correct option as,
W = Y ( 90° given )
VW = YZ ( as both are || to eachother so their length is same )
angle X = X ( vertically opposite angle)
therefore, ∆WVX = ∆ZYX are congruent according to SAS congruency rule/criteria.
hope this answer helps you dear..take care and may u have a great day ahead and also ur exam/test goes well!.
Answer:
x = 5/13
Step-by-step explanation:
![x+\dfrac{2}{13}=\dfrac{7}{13}\\\\ x+\dfrac{2}{13}-\dfrac{2}{13}=\dfrac{7}{13}-\dfrac{2}{13}\\\\x+0=\dfrac{7-2}{13}\\\\\boxed{x=\dfrac{5}{13}=0.38462}](https://tex.z-dn.net/?f=x%2B%5Cdfrac%7B2%7D%7B13%7D%3D%5Cdfrac%7B7%7D%7B13%7D%5C%5C%5C%5C%20x%2B%5Cdfrac%7B2%7D%7B13%7D-%5Cdfrac%7B2%7D%7B13%7D%3D%5Cdfrac%7B7%7D%7B13%7D-%5Cdfrac%7B2%7D%7B13%7D%5C%5C%5C%5Cx%2B0%3D%5Cdfrac%7B7-2%7D%7B13%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D%5Cdfrac%7B5%7D%7B13%7D%3D0.38462%7D)