"<span>5 to the negative 4th power over 5 to the 3rd</span>" translates to

5⁻⁴ / 5³

So you can just combine exponents.

5⁻⁴ / 5³ = 5⁻⁴ ⁻ ³ = 5⁻⁷ = 1/5⁷

Final answer: 1/5⁷

4 0

2 years ago

Duncan takes a break from studying and goes to the gym to swim laps. If swimming burns 9.05×105 cal per hour, how many kilojoule

fgiga [73]

For this case we have to by definition:

1 kilojoule equals 0.239006 kilocalorie.

1 kilocalorie equals 1000 calories

Then, if we have: $9.05 * 10 ^ 5 \frac {calories} {hour} *\frac {1} {1000} \frac {kilocaloria} {calorie} = 9.05 * 10 ^ 2 \frac {kilocaloria} {hour}$

Now:

$9.05 * 10 ^ 2 \frac {kilocaloria} {hour} * \frac {1} {0.239006} \frac {kilojoule} {kilocaloria} = 3786.52 \frac {kilojoule} {hour}$

Answer:

$3786.52 \frac {kilojoule} {hour}$

3 0

2 years ago

Paula walked on the treadmill for 12 minutes. The machine told her she had a total of 780 strides. What was her rate in strides

Cerrena [4.2K]

Answer:780/12=65

Step-by-step explanation:

7 0

3 years ago

Least greatest ordering integers

morpeh [17]

1. 5, 19, 24, 46, 77, then 98

2. -62, -47, -11, 38, then 56

5 0

2 years ago