Hisoka86
Hisoka86 Hisoka86
  • 10-01-2021
  • Mathematics
contestada

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

Which choice is equivalent to the expression below 2719 class=

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devishri1977
devishri1977 devishri1977
  • 10-01-2021

Answer:

B

Step-by-step explanation:

Exponents Law:

[tex]a^{m}*a^{n} = a^{m+n}[/tex]

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.

[tex]2^{7.19}=2^{7+0.1+0.09}\\\\=2^{7}*2^{0.1}*2^{0.09}\\\\= 2^{7}*2^{\frac{1}{10}}*2^{\frac{9}{100}}[/tex]

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