CPM Homework Help : CCA2 Problem A-56

CPM Homework Banner

Home > CCA2 > Chapter A > Lesson A.2.1 > Problem A-56

A-56.

Simplify each expression. In parts (e) through (f) write the final answer in scientific notation.

$4^2 · 4^5$
Hint (a):
If you wrote out all the factors of $4$ , how many would you have? What shortcut can you use?
Answer (a):
$4^7$

$(5^0)^3$
Hint (b):
Multiply the exponents and simplify.
Answer (b):
$1$

$x^{-5} · x^3$
Hint (c):
Look at part (a) - use the exponent rule(s).

$(x^{-1} · y^2)^3$
Hint (d):
Look at part (b) - use the exponent rule(s).

$(8 × 10^5) · (1.6 × 10^{-2})$
Hint (e):
Use the Commutative and Associative properties of multiplication to rewrite the problem.
$(8 · 1.6) · (10^5 · 10^{-2})$
Answer (e):
$1.28 · 10^4$

$\frac { 4 \times 10 ^ { 3 } } { 5 \times 10 ^ { 5 } }$
Hint (f):
Rewrite the fraction using the Commutative and Associative properties.
Then simplify each fraction and convert to scientific notation.
$\frac{4}{5}\cdot \frac{10^{3}}{10^{5}}\ =\ 0.8\cdot 10^{-2}$
Answer (f):
$8 · 10^{-3}$

© 2022 CPM Educational Program. All rights reserved.