Which of the following correctly used the Power Rule of Exponents in the expression (109)7?(1 point)
Responses
1016
10 superscript 16 baseline
90 superscript 7 baseline
1063
10 superscript 63 baseline
102
109^7
To correctly apply the Power Rule of Exponents, we need to multiply the exponents when raising a power to a power. In the expression (109)7, the base is 10 and the exponent is 9. Applying the Power Rule, the correct calculation would be 97, which equals 10,000,000,000. Therefore, the correct answer is 1010.
To correctly use the Power Rule of Exponents, you need to multiply the base, which is 109 in this case, by the exponent, which is 7.
So the correct way to calculate (109)7 is to multiply 109 by itself seven times.
Let's do the calculation step by step:
First, multiply 109 by 109:
109 x 109 = 11,881
Next, multiply the result (11,881) by 109:
11,881 x 109 = 1,295,429
Repeating this process of multiplying the previous result by 109 a total of seven times, we get:
1,295,429 x 109 = 141,158,161
141,158,161 x 109 = 15,387,420,949
15,387,420,949 x 109 = 1,677,721,046,141
1,677,721,046,141 x 109 = 183,651,123,623,361
183,651,123,623,361 x 109 = 20,054,374,248,862,649
Therefore, the correct answer to (109)7 is 20,054,374,248,862,649.