Help me and show work plz <3
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Write the expression using exponents.
[tex]0.8 \: · \: 0.8 \: · \: 0.8 \: · \: 0.8 \: = \boxed { ? }[/tex]
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