Properties of Exponents

Question 1

X3*X4?

X5/X3= X**2

(X2)4

Answer 1

X**7

X**2

X**8

Question 2

(-2x6)3?

Answer 2

(-2)3 X18

-8x**18

Question 3

3X2y
_____
4z3 everything in one parentheses and squared

Answer 3

9x4y2
_______
16z**6

Question 4

Xminus3 / Xminus5= name the two ways

Answer 4

Relocate: xminus sth means that it is on the wrong side. It needs to get either up or down the fraction depending on where it is. X5/X3=X2

Quotient rule: X-3-(-5)=X**2

Question 5

3xminus2 y3
____________
x**5

Answer 5

3y3
____ = 3y3/x7
x2 x**5

Question 6

-2x5
____
x8

Answer 6

-2xminus3
________ = -2/x3
1

Question 7

x0=
60=
3x0+7y0

Answer 7

squared with 0 is always 1. Why? 10/10=1 is technically 101/10/1, so when you divide and subtract the exponents you get 10**0 which is, as we know, =1

10! mind that 3 and seven have the exponents 1

Question 8

Write in standard form:

3. 45X10**6
4. 68X10**minus4

Answer 8

move the point, right if positive exponent, left if negative, go how many steps the exponent says.

3,450,000. Fill left spots with zeros
.000168

Question 9

(3.2X102)(1.6X104)=

Answer 9

5.12X10**6 # normal exponent rule but base stays the same because it is scientific notation