Respuesta :

Answer:

0.8^4

Step-by-step explanation:

Question :-

Write the expression using exponents.

[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]

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Solution :-

Given Information :-

  • Expression ➢ 0.8 · 0.8 · 0.8 · 0.8

To Find :-

  • The value of the expression using exponents.

Calculation :-

Since, the expression is actually the repetition of 0.8, so we can write this as,

⇒ 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴

Calculating further, We get,

⇒ ( 0.8 )⁴ = [tex] \sf \frac{8 \times 8 \times 8 \times 8}{10 \times 10 \times 10 \times 10} = \frac{8⁴}{10⁴} [/tex]

⇒ ( 0.8 )⁴ = [tex] \frac{4096}{10000} [/tex]

Calculating further, We get,

⇒ ( 0.8 )⁴ = 0.4096

0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

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Final Answer :-

  • 0.8 · 0.8 · 0.8 · 0.8 = ( 0.8 )⁴ = 0.4096

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