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I NEED HELP PLS HURRY

1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7

2 Answers

3 votes

Answer:

We use the rule,


(a^b)^c = a^(bc)

a. (10^7)²


(10^7)^2 = 10^((7)(2)) = 10^(14)

10^14

b. (10^9)³


(10^9)^3 = 10^((9)(3)) = 10^(27)

10^27

c. (10^6)³


10^((6)(3))= 10^(18)

10^18

d. (10^2)³


10^((2)(3)) = 10^(6)

10^6

e. (10³)²


10^((3)(2))=10^(6)

10^6

f. (10^5)^7


10^((5)(7)) = 10^(35)

10^35

Explanation:

User Brandan
by
7.6k points
5 votes
a. 10^14
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35

multiply the exponents.
User Ali Soltani
by
8.1k points