Question

Evaluate each expression for s=4 and t=8 1) (25)^2t 2) 2st^2-5^2 3) 2s^2-t^3/16

Answer 1

Answer:

1. 2.328×$10^{22}$

2. 487

3. 30.52  OR  0 (see explanation↓)

Step-by-step explanation:

1.$(25)^{2t}$

(sub for t=8)

=$25^{2*8}$

=$25^{16}$

=2.328×$10^{22}$

2.$2st^{2} -5^{2}$

(sub for s=4 and t=8)

=2×4×$8^{2}$-$5^{2}$

=512-25

=487

3.$2s^{2} -t^{3/16}$ (the equation is not clear so I will do $2s^{2} -\frac{t^{3} }{16}$ as well)

FOR $2s^{2} -t^{3/16}$

(sub s=4 and t=8)

=2×$4^{2}$-$8^{3/16}$

=32-1.476826146

=30.52 (to the nearest 2 decimal place)

FOR $2s^{2} -\frac{t^{3} }{16}$

(sub s=4 and t=8)

=2×$4^{2}$-$\frac{8^{3} }{16}$

=32-32

=0