Question

Match the following expressions with their correct values:

• A. $-32$
• B. $81$
• C. $25$
• D. $-64$

Answer 1

$\underset{–}{\text{Note:}}$ Negative base with even exponent gives positive sign in the result, and negative base with odd exponent produces negative sign in the result.

$\bullet$ In $(-2{)}^5$, base is negative $(-2)$ and exponent is odd (5); negative sign willl come in the result.
Hence,
$(-2{)}^5=-2^5$
$=-32$

$\bullet$ In $(-3{)}^4$, base is negative $(-3)$ and exponent is even (4); positive sign willl come in the result.
Hence,
$(-3{)}^4=+3^4$
$=81$

$\bullet$ In $(-5{)}^2$, base is negative $(-5)$ and exponent is even (2); positive sign willl come in the result.
Hence,
$(-5{)}^2=+5^2$
$=25$

$\bullet$ In $(-4{)}^3$, base is negative $(-4)$ and exponent is odd (3); negative sign willl come in the result.
Hence,
$(-4{)}^3=-4^3$
$=-64$