Question

Which choice is equivalent to the expression below?
2^7.19

Answer 1

B

Explanation:

Exponents Law:

`a^(m)*a^(n) = a^(m+n)`

In exponent multiplication, if bases are same, add the powers(exponents).

Write 7.19 in expanded form: 7.19 = 7 + 0.1 + 0.09. Now apply the exponent rule.

`2^(7.19)=2^(7+0.1+0.09)\\\\=2^(7)*2^(0.1)*2^(0.09)\\\\= 2^(7)*2^{(1)/(10)}*2^{(9)/(100)}`