# What I learned this week

This week, I learned about the exponents laws, and here are some of them:

Rule: When multiplying powers with the same base, you add the exponents.

1) $5^3$$5^4$ = $5^7$

5•5•5•5•5•5•5= $5^7$

2) $3^3$$3^2$ = $3^5$

3•3•3•3•3= $3^5$

Rule: When dividing powers with the same base, you subtract the exponents.

1) $5^5$ ÷ $5^3$ = $5^2$

2) $5^7$ ÷ $5^4$ = $5^3$

Rule: To raise a power to a power, multiply the exponents.

Rule: When a product is raised to an exponent, you can rewrite each factor in the product with the same exponent.

( 3 × 2 ) $^3$

( 3 × 2 ) ( 3 × 2 ) ( 3 × 2 ) = $3^2$$2^3$

Rule: When a quotient is raised to an exponent, you can rewrite each number in the quotient with the same exponent.

1) $5^4$ ÷ $5^4$ = $5^0$ = 1

Rule: When the exponent of a power is zero, the value of the power is 1 (as long as the base is zero)

[ 2× ( -3 ) ] $^5$

= $2^5$$(-3)^5$

= -7776

# LateX coding

Example 1:  $5^2$

Example 2: $5^{12}$

Example 3: $6+9-24\cdot4\div2$

Example 4: $\frac{14}{9}$

Example 5: $latex 2\frac {14}{9} Example 6: $3+2$ Example 7: $5+2$ Example 8:$2+5&bg=ffffoo$ # Science App Review # Word problems with fractions. I earned$250 at my job. I used 1/10 at McDonald’s, 1/4 for shoes and 1/8 for clothing. How much money do I have left for savings?

1. First I add all the money that I used.

1/10 + 1/4 + 1/8 =  19/40

2. Now multiply 250/1 × 19/40 (total of money that I used)

250/1 × 19/40 = 118 3/4  or 475/4

3. Transform the fraction into a decimal by dividing the numerator and the denominator.

475/4 ~  475 ÷ 4 = 118.75

4. I used $118.75 of$250.

5. 250 – 118.75 = 131.25

6.I have \$131.25 for savings.