Help me please thanks

3.64 × 10¹⁵

Step-by-step explanation:

Hey!

We always follow these rules when we are Multiplying and Dividing numbers with Scientific Notation.

1. If the numbers are not in scientific notation, convert them.

2. Regroup the numbers using the commutative and associative properties of exponents.

3. Now multiply the two numbers written in scientific notation, you work out the coefficients and the exponents separately.

             -Use the product rule; aⁿ × aᵇ = a⁽ⁿ⁺ᵇ⁾  to multiply the bases.

4. If the product of the coefficients is greater than 9, convert it to scientific notation and multiply by the new power of 10.

5. Join the new coefficient to the new power of 10 to get the answer.

Let's start!

Our equation:

                                  (5.2 × 10⁶)(7 × 10⁸)

1. If the numbers are not in scientific notation, convert them.

They are in scientific notation, so we go on to step 2.

2. Regroup the numbers using the commutative and associative properties of exponents.

(5.2 × 7)(10⁶ × 10⁸)

3. Now multiply the two numbers written in scientific notation, you work out the coefficients and the exponents separately.

             -Use the product rule; aⁿ × aᵇ = a⁽ⁿ⁺ᵇ⁾  to multiply the bases.

5.2 × 7 = 36.4

10⁶ × 10⁸= 10⁽⁶⁺⁸⁾ = 10¹⁴

4. If the product of the coefficients is greater than 9, convert it to scientific notation and multiply by the new power of 10.

36.4 = 3.64 × 10¹

5. Join the new coefficient to the new power of 10 to get the answer.

3.64 × 10¹ × 10¹⁴

3.64 × 10⁽¹⁺¹⁴⁾ = 3.64 × 10¹⁵

3.64 × 10¹⁵

Hope I Helped, Feel Free to ask any questions to clarify :)

Have a fantastic day!

           -Aadi x

b.) 160 miles on a 5 gallons car

step-by-step explanation:

240/10=24 miles/gallon

160/5=32 miles/gallon

30/1=30 miles/gallon

168/6= 28 miles/gallon

32 miles/gallon is the most amount, so this is the best.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation: