AmauriF508601 AmauriF508601
  • 03-11-2022
  • Mathematics
contestada

What is the missing exponent?w^3 x w^? = w^-6

Respuesta :

VedanshiF527815 VedanshiF527815
  • 03-11-2022

Let the missing exponent be a,

[tex]w^3\times w^a=w^{-6}[/tex]

From the law of indices stated below which satisfies the above equation,

[tex]\begin{gathered} x^a\times x^b=x^{a+b} \\ \text{relating the equation to the formula,} \\ w^3\times w^a=w^{-6} \\ w^{3+a}_{}=w^{-6} \\ \text{solving the exponents,} \\ 3+a=-6 \\ \text{Collect like terms} \\ a=-6-3 \\ a=-9 \end{gathered}[/tex]

Hence, the missing exponent a is -9.

Answer Link

Otras preguntas

the antifederalists believed a bill of rights needed to be added to the constitution to further limit the government's power and protect specific individual rig
what is the random variable of weight of persons working out in the gym​
Is Russia apart of Europe or Asia? Why?
history of australia​
3. Name a city that fell to Franco's forces between July 1938 and February 1939 ?
i need all the questions answered. studying for final exam
During the initiation of transcription, DNA polymerase binds to the origin of replication to unwind and unzip the DNA molecule. A. True B. False
help please this is a major grade (my birthday is next week) if i dont pass i wont celebrate my birthday please help!
Which rhinoceros species is best adapted for feeding in the large open grasslands of Africa’s Serengeti ecosystem?
Which system of equations has no solutions?