hortoemm001 hortoemm001
  • 16-09-2021
  • Mathematics
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Simplify using the Laws of Exponents −4t5(6t5)

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Аноним Аноним
  • 16-09-2021

Answer:

[tex]\dashrightarrow \: { \tt{ - 4 {t}^{5}(6 {t}^{5}) }}[/tex]

• from law of indices:

[tex]{ \rm{( {x}^{a})( {x}^{m}) = {x}^{(a + m)} }}[/tex]

• therefore:

[tex]\dashrightarrow \: { \tt{( - 4 \times 6)( {t}^{5} \times {t}^{5} ) }} \\ \\ \dashrightarrow \: { \tt{ - 24 {t}^{(5 + 5)} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ - 24 {t}^{10} }}}[/tex]

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