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Simplify 9 to the 2nd over 9 to the 7th. (4 points)
95
1 over 9 to the 9th
1 over 9 to the negative 5th
1 over 9 to the 5th
To simplify 9 to the 2nd over 9 to the 7th, we subtract the exponents because they have the same base. So, 9 to the 2nd over 9 to the 7th can be simplified as 9^(2-7) which equals 9^(-5). Thus, the answer is 1 over 9 to the 5th.
Simplify 11 to the negative 4th power over 11 to the 8th power. (4 points)
1 over 11 to the 12th power
1 over 11 to the 4th power
114
1112
To simplify 11 to the negative 4th power over 11 to the 8th power, we subtract the exponents because they have the same base. So, 11 to the negative 4th power over 11 to the 8th power can be simplified as 11^(-4-8) which equals 11^(-12). Thus, the answer is 1 over 11 to the 12th power.
Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. (4 points)
6 to the 7th over 7 to the 10th
6 to the 10th over 7 to the 6th
6 to the 3rd over 7
12 to the 5th over 14 to the 3rd
To simplify (6^5 / 7^3)^2, we should first simplify the expression inside the parentheses and then apply the exponent of 2 to the simplified result.
(6^5 / 7^3) can be simplified to (7776 / 343) = 22.646 as an approximate decimal value.
Now, we raise this value to the power of 2: 22.646^2 ≈ 512.17.
Therefore, the answer is approximately 512.17.
Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. (4 points)
6 to the 7th over 7 to the 10th
6 to the 10th over 7 to the 6th
6 to the 3rd over 7
12 to the 5th over 14 to the 3rd
To simplify (6^5 / 7^3)^2, we should first simplify the expression inside the parentheses and then apply the exponent of 2 to the simplified result.
6^5 is equal to 7776 (6 * 6 * 6 * 6 * 6).
7^3 is equal to 343 (7 * 7 * 7).
Now, we have (7776 / 343)^2.
Calculating the division: (7776 / 343) = 22.
Now, we raise 22 to the power of 2: 22^2 = 484.
Therefore, the answer is 484.
In which expression should the exponents be multiplied? (4 points)
one fifth to the 2nd times one fifth to the 6th
9 to the 3rd over 9 to the 4th
73 ⋅ 78
(26)−5
In the expression "one fifth to the 2nd times one fifth to the 6th," the exponents should be multiplied.
Which expression is equivalent to (82)−4? (4 points)
1 over 8 to the 2nd
negative 1 over 8 times 8 times 8 times 8 times 8 times 8 times 8 times 8
1 over 8 times 8 times 8 times 8 times 8 times 8 times 8 times 8
82