Answer:
9.765625×10^6
Step-by-step explanation:
Simplify the following:
5^2×5^9/5
Hint: | Express 5^2×5^9/5 as a single fraction.
5^2×5^9/5 = (5^2×5^9)/5:
(5^2×5^9)/5
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to (5^2×5^9)/5.
Combine powers. (5^2×5^9)/5 = 5^(9 + 2 - 1):
5^(9 + 2 - 1)
Hint: | Evaluate 9 + 2.
9 + 2 = 11:
5^(11 - 1)
Hint: | Subtract 1 from 11.
| 1 | 1
- | | 1
| 1 | 0:
5^10
Hint: | Compute 5^10 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.
5^10 = (5^5)^2 = (5×5^4)^2 = (5 (5^2)^2)^2:
(5 (5^2)^2)^2
Hint: | Evaluate 5^2.
5^2 = 25:
(5×25^2)^2
Hint: | Evaluate 25^2.
| 2 | 5
× | 2 | 5
1 | 2 | 5
5 | 0 | 0
6 | 2 | 5:
(5×625)^2
Hint: | Multiply 5 and 625 together.
5×625 = 3125:
3125^2
Hint: | Evaluate 3125^2.
| | | 3 | 1 | 2 | 5
× | | | 3 | 1 | 2 | 5
| | 1 | 5 | 6 | 2 | 5
| | 6 | 2 | 5 | 0 | 0
| 3 | 1 | 2 | 5 | 0 | 0
9 | 3 | 7 | 5 | 0 | 0 | 0
9 | 7 | 6 | 5 | 6 | 2 | 5:
Answer: | 9765625 = 9.765625×10^6
Answer:
<em>a = </em><em>-21</em>
Step-by-step explanation:
<em>-22 x -21 = </em><em>462</em>
Answer:
66 words per minute
Step-by-step explanation:
In 38 minutes , words that can be typed by Gordon = 2508 words
In 1 minute, words that can be typed by Gordon = 2508/38
= 66 words
Therefore Gordon types 66 words per minute.
hope it helps :)
The area of the triangle ABC is 154.6 square units
Explanation:
Given that the measurements of the sides of the triangles are 
, 
and 
We need to determine the area of the triangle ABC
<u>Area of triangle ABC:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying the terms, we get,
Multiplying the values, we have,
Dividing, we get,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 154.6 square units
