Which value of $ b $ solves the equation?

$$ b^{-3} = \frac{1}{216} $$

Question

Which value of $ b $ solves the equation?

$$ b^{-3} = \frac{1}{216} $$

mariamikayla · Answer

b − 3 = 216 1 ​ b 3 1 ​ = 216 1 ​ b 3 1 ​ = 6 3 1 ​ b 3 = 6 3 b = 6 ​

jamiesm · Answer

if b^-3=1/216 find the reciprocal (^-1) of each side so it will be b^3=216 and then find the cube root so b=∛216 which is 6

mariamikayla · Answer

The value of b that solves the equation b − 3 = 216 1 ​ is 6 . To find this, we rewrite the equation, take reciprocals, and then deduce that b = 6 from the cube root of both sides. Thus, b = 6 is the solution. 
 ;

Which value of \( b \) solves the equation?

\[ b^{-3} = \frac{1}{216} \]

Answer (3)

Which value of \( b \) solves the equation? \[ b^{-3} = \frac{1}{216} \]

Answer (3)

Related Questions in Mathematics

[Terjawab] Given these four points: $A(3,-10), B(-1,10), C(-8,-6), D(-10,-3)$, find the coordinates of the midpoint of line segments $A B$ and $C D$. Round decimals to the nearest tenth. midpoint of $A B(x, y)=($ , ) midpoint of $C D(x, y)=($ , )

[Terjawab] Solve $6 x+8 \leq 20$ or $5+4 x \geq 33$

[Terjawab] What are the solutions to the following system? $\begin{array}{l} -2 x^2+y=-5 \\ y=-3 x^2+5 \end{array}$ A. $(\sqrt{5},-10)$ and $(-\sqrt{5},-10)$ B. $(0,2)$ C. $(1,-2)$ D. $(\sqrt{2},-1)$ and $(-\sqrt{2},-1)$

[Terjawab] Solve the following division problem: $349 lb 6 oz \div 130$ Select one of four: A. 4 lb 3 oz B. 6 lb 7 oz C. 3 lb 9 oz D. 2 lb 11 oz

[Terjawab] Choose the improper fraction equivalent to the mixed number below. $9 \frac{4}{8}$ A. $\frac{77}{80}$ B. $\frac{76}{8}$ C. $\frac{75}{9}$ D. $\frac{75}{8}$

Which value of \( b \) solves the equation?

\[ b^{-3} = \frac{1}{216} \]