Answer:
[tex]\boxed{\tt -311}[/tex]
Step-by-step explanation:
We are given the expression:
[tex]g^5-h^3[/tex]
and asked to solve when [tex]g=2[/tex] and [tex]h=7[/tex].
Substitute 2 in for g and 7 in for h.
[tex](2)^5-(7)^3[/tex]
Evaluate the exponents.
⇒ 2⁵= 2*2*2*2*2= 32
[tex]32-(7)^3[/tex]
⇒7³= 7*7*7=343
[tex]32-343[/tex]
Subtract 343 from 32.
[tex]-311[/tex]
The expression g⁵-h³ evaluated for g=2 and h=7 is equal to -311
