Write the expression using a single exponent.

2^2 * 2^8

A. 4^10
B. 2^10
C. 4^16
D. 2^16

Write the expression using scientific notation.

(2.5 * 10^4)(4 * 10^3

A. 10 * 10^7
B. 10 * 10^8
C. 1 * 10^8
D. 10 * 10^12

3 answers

x ^ a * x ^ b = x ^ ( a + b )

2 ^ 2 * 2 ^ 8 = 2 ^ ( 2 + 8 ) = 2 ^ 10

( 2.5 * 10 ^ 4 )( 4 * 10 ^ 3 ) = 2.5 * 4 * 10 ^ ( 4 + 3 ) = 10 * 10 ^ 7 = 10 ^ 1 * 10 ^ 7 = 10 ^ ( 1 + 7 ) = 10 ^ 8
Bosnian is right guys-
To be clear:
2^2 + 2^8
B. 2^10

(2.5 * 10^4)(4 * 10^3)
C. 1 * 10^8
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