Advertisements
Advertisements
Question
Use the properties of exponents to verify that statement is true.
25(5n – 2) = 5n
Advertisements
Solution
LHS = 25(5n – 2)
= 52(5n ÷ 52)
= `5^2 xx 5^n xx 1/5^2`
= 5n
= RHS
APPEARS IN
RELATED QUESTIONS
The value of `(-2/3)^4` is equal to ______.
If `5^(3x - 1) ÷ 25 = 125`, find the value of x.
The cells of a bacteria double in every 30 minutes. A scientist begins with a single cell. How many cells will be there after 24 hours?
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.
- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
Find a single repeater machine that will do the same work as hook-up.
Find a single repeater machine that will do the same work as hook-up.
Supply the missing information for diagram.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
By what number should (–15)–1 be divided so that the quotient may be equal to (–5)–1?
