Answer:
The Index notation for 3x7x7x7x7 is: [tex]3\times 7^4[/tex]
The Index notation for 2x9x9x9x2x9 is: [tex]2^2\times 9^4[/tex]
Step-by-step explanation:
Consider the provided number.
3×7×7×7×7 and 2×9×9×9×2×9
We need to write the number in index notation.
Index notation is shortcut method of writing repeated multiplications by the same number.
Consider the number.
[tex]3\times 7\times 7\times 7\times 7[/tex]
Here, 3 repeat 1 time and 7 repeat 4 times.
Thus, the Index notation is: [tex]3\times 7\times 7\times 7\times 7=3\times 7^4[/tex]
Consider the second number.
[tex]2\times 9\times 9\times 9\times 2\times 9[/tex]
Here, 2 repeat 2 times and 9 repeat 4 times.
Thus, the Index notation is: [tex]2\times 9\times 9\times 9\times 2\times 9=2^2\times 9^4[/tex]
